Nested aggregation for multiple nested fields

Hello. I want to make Global nested aggregation with nested field inside nested field. And it doesn't works. I am not sure why.

I have this kind of structure (mapping added down), where embellishmentMethodsData is nested and productionTimeList is nested.

embellishmentMethodsData: [
    {
      method: 'debossed',
      productionTimeList: [
        {
          name: 'Standard',
          cost: 0,
          time: 18,
        },
        {
          name: 'Super Speed',
          time: 1,
          cost: 0,
        },
      ],
      isSuperSpeed: true,
      superSpeedSettings: {
        minQuant: 100,
        maxQuant: 100000,
        maxPrintColors: 0,
      },
    },
    {
      method: 'digital print',
      isSuperSpeed: false,
      productionTimeList: [
        {
          name: 'Standard',
          cost: 0,
          time: 50,
        },
      ],
    },
    {
      method: 'heat transfer',
      isSuperSpeed: false,
      productionTimeList: [
        {
          name: 'Standard',
          cost: 0,
          time: 50,
        },
      ],
    },
  ]

I want to return all unique embellishmentMethodsData.method
where embellishmentMethodsData.isSuperSpeed: true AND embellishmentMethodsData.productionTimeList.name: "Super Speed".

Query works well (documents filtered in the right way), but Global aggregation gives wrong results - all embellishmentMethodsData.methods added where embellishmentMethodsData.isSuperSpeed: true, but another filter embellishmentMethodsData.productionTimeList.name: "Super Speed" is not applied.

Here is my mapping.

{
    "light_integration_development_products": {
        "mappings": {
            "properties": {
                "categories": {
                    "properties": {
                        "categoryId": {
                            "type": "text",
                            "fields": {
                                "keyword": {
                                    "type": "keyword",
                                    "ignore_above": 256
                                }
                            }
                        },
                        "isDefault": {
                            "type": "boolean"
                        },
                        "name": {
                            "type": "text",
                            "fields": {
                                "keyword": {
                                    "type": "keyword",
                                    "ignore_above": 256
                                }
                            }
                        }
                    }
                },
                "embellishmentMethodsData": {
                    "type": "nested",
                    "properties": {
                        "isSuperSpeed": {
                            "type": "boolean"
                        },
                        "method": {
                            "type": "keyword",
                            "fields": {
                                "keyword": {
                                    "type": "keyword",
                                    "ignore_above": 256
                                }
                            }
                        },
                        "productionTimeList": {
                            "type": "nested",
                            "properties": {
                                "cost": {
                                    "type": "long"
                                },
                                "name": {
                                    "type": "text",
                                    "fields": {
                                        "keyword": {
                                            "type": "keyword",
                                            "ignore_above": 256
                                        }
                                    }
                                },
                                "time": {
                                    "type": "long"
                                }
                            }
                        },
                        "superSpeedSettings": {
                            "properties": {
                                "maxPrintColors": {
                                    "type": "long"
                                },
                                "maxQuant": {
                                    "type": "long"
                                },
                                "minQuant": {
                                    "type": "long"
                                }
                            }
                        }
                    }
                },
                "name": {
                    "type": "text",
                    "fields": {
                        "keyword": {
                            "type": "keyword",
                            "ignore_above": 256
                        }
                    }
                }
            }
        }
    }
}

Here is my all 3 DOCUMENTS

{
    "took": 1,
    "timed_out": false,
    "_shards": {
        "total": 1,
        "successful": 1,
        "skipped": 0,
        "failed": 0
    },
    "hits": {
        "total": {
            "value": 3,
            "relation": "eq"
        },
        "max_score": 1.0,
        "hits": [
            {
                "_index": "light_integration_development_products",
                "_type": "_doc",
                "_id": "5df8f442ae53c265bfdc1b77",
                "_score": 1.0,
                "_source": {
                    "name": "Recycled Cotton Tote 333",
                    "embellishmentMethodsData": [
                        {
                            "method": "blue inc",
                            "productionTimeList": [
                                {
                                    "name": "Standard",
                                    "cost": 0,
                                    "time": 30
                                }
                            ]
                        }
                    ],
                    "categories": [
                        {
                            "isDefault": true,
                            "name": "Totes",
                            "categoryId": "57ed30cb0a0cab3686ccaae7"
                        }
                    ]
                }
            },
            {
                "_index": "light_integration_development_products",
                "_type": "_doc",
                "_id": "5df8f442ae53c265bfdc1b76",
                "_score": 1.0,
                "_source": {
                    "name": "Recycled Cotton Tote 222",
                    "embellishmentMethodsData": [
                        {
                            "method": "embroidery",
                            "productionTimeList": [
                                {
                                    "name": "Standard",
                                    "cost": 0,
                                    "time": 25
                                },
                                {
                                    "name": "Super Speed",
                                    "cost": 0,
                                    "time": 5
                                }
                            ],
                            "isSuperSpeed": true,
                            "superSpeedSettings": {
                                "minQuant": 50,
                                "maxQuant": 1000,
                                "maxPrintColors": 0
                            }
                        }
                    ],
                    "categories": [
                        {
                            "isDefault": true,
                            "name": "Totes",
                            "categoryId": "57ed30cb0a0cab3686ccaae7"
                        }
                    ]
                }
            },
            {
                "_index": "light_integration_development_products",
                "_type": "_doc",
                "_id": "5df8f442ae53c265bfdc1b75",
                "_score": 1.0,
                "_source": {
                    "name": "Recycled Cotton Tote",
                    "embellishmentMethodsData": [
                        {
                            "method": "debossed",
                            "productionTimeList": [
                                {
                                    "name": "Standard",
                                    "cost": 0,
                                    "time": 18
                                },
                                {
                                    "name": "Super Speed",
                                    "time": 1,
                                    "cost": 0
                                }
                            ],
                            "isSuperSpeed": true,
                            "superSpeedSettings": {
                                "minQuant": 100,
                                "maxQuant": 100000,
                                "maxPrintColors": 0
                            }
                        },
                        {
                            "method": "digital print",
                            "productionTimeList": [
                                {
                                    "name": "Standard",
                                    "cost": 0,
                                    "time": 50
                                }
                            ]
                        },
                        {
                            "method": "heat transfer",
                            "productionTimeList": [
                                {
                                    "name": "Standard",
                                    "cost": 0,
                                    "time": 50
                                }
                            ]
                        }
                    ],
                    "categories": [
                        {
                            "isDefault": true,
                            "name": "Totes",
                            "categoryId": "57ed30cb0a0cab3686ccaae7"
                        }
                    ]
                }
            }
        ]
    }
}

Here is my REQUEST:

{
    "from": 0,
    "size": 12,
    "query": {
        "bool": {
            "must": [
                {
                    "bool": {
                        "must": [
                            {
                                "nested": {
                                    "path": "embellishmentMethodsData",
                                    "query": {
                                        "bool": {
                                            "must": [
                                                {
                                                    "term": {
                                                        "embellishmentMethodsData.isSuperSpeed": true
                                                    }
                                                }
                                            ]
                                        }
                                    }
                                }
                            }
                        ]
                    }
                }
            ],

            "should": [
                {
                    "exists": {
                        "field": "categories"
                    }
                }
            ],
            "minimum_should_match": 1
        }
    },

    "aggs": {
        "embellishmentMethodsGlobal": {
            "global": {},
            "aggs": {
                "unfilteredFacets": {
                    "filter": {
                        "bool": {
                            "must": [
                                {
                                    "bool": {
                                        "must": [
                                            {
                                                "nested": {
                                                    "path": "embellishmentMethodsData",
                                                    "query": {
                                                        "bool": {
                                                            "must": [
                                                                {
                                                                    "term": {
                                                                        "embellishmentMethodsData.isSuperSpeed": true
                                                                    }
                                                                }
                                                            ]
                                                        }
                                                    }
                                                }
                                            },
                                            {
                                                "nested": {
                                                    "path": "embellishmentMethodsData.productionTimeList",
                                                    "query": {
                                                        "bool": {
                                                            "filter": [
                                                                {
                                                                    "term": {
                                                                        "embellishmentMethodsData.productionTimeList.name.keyword": "Super Speed"
                                                                    }
                                                                }
                                                            ]
                                                        }
                                                    }
                                                }
                                            }
                                        ]
                                    }
                                }
                            ],

                            "should": [
                                {
                                    "exists": {
                                        "field": "categories"
                                    }
                                }
                            ],
                            "minimum_should_match": 1
                        }
                    },
                    "aggs": {
                        "nestedEmbellishmentMethodsUnique": {
                            "nested": {
                                "path": "embellishmentMethodsData"
                            },
                            "aggs": {
                                "embellishmentMethods": {
                                    "terms": {
                                        "size": 50,
                                        "field": "embellishmentMethodsData.method.keyword",
                                        "min_doc_count": 1
                                    }
                                }
                            }
                        }
                    }
                }
            }
        }
    }
}

Here is my RESPONSE
at embellishmentMethodsGlobal buckets I expect only 2 methods - debossed and embroidery because they both have
embellishmentMethodsData.isSuperSpeed: true and embellishmentMethodsData.productionTimeList.name: Super Speed at 5df8f442ae53c265bfdc1b75 and 5df8f442ae53c265bfdc1b76 documents respectively

{
    "took": 5,
    "timed_out": false,
    "_shards": {
        "total": 1,
        "successful": 1,
        "skipped": 0,
        "failed": 0
    },
    "hits": {
        "total": {
            "value": 2,
            "relation": "eq"
        },
        "max_score": 1.1823215,
        "hits": [
            {
                "_index": "light_integration_development_products",
                "_type": "_doc",
                "_id": "5df8f442ae53c265bfdc1b76",
                "_score": 1.1823215,
                "_source": {
                    "name": "Recycled Cotton Tote 222",
                    "embellishmentMethodsData": [
                        {
                            "method": "embroidery",
                            "productionTimeList": [
                                {
                                    "name": "Standard",
                                    "cost": 0,
                                    "time": 25
                                },
                                {
                                    "name": "Super Speed",
                                    "cost": 0,
                                    "time": 5
                                }
                            ],
                            "isSuperSpeed": true,
                            "superSpeedSettings": {
                                "minQuant": 50,
                                "maxQuant": 1000,
                                "maxPrintColors": 0
                            }
                        }
                    ],
                    "categories": [
                        {
                            "isDefault": true,
                            "name": "Totes",
                            "categoryId": "57ed30cb0a0cab3686ccaae7"
                        }
                    ]
                }
            },
            {
                "_index": "light_integration_development_products",
                "_type": "_doc",
                "_id": "5df8f442ae53c265bfdc1b75",
                "_score": 1.1823215,
                "_source": {
                    "name": "Recycled Cotton Tote",
                    "embellishmentMethodsData": [
                        {
                            "method": "debossed",
                            "productionTimeList": [
                                {
                                    "name": "Standard",
                                    "cost": 0,
                                    "time": 18
                                },
                                {
                                    "name": "Super Speed",
                                    "time": 1,
                                    "cost": 0
                                }
                            ],
                            "isSuperSpeed": true,
                            "superSpeedSettings": {
                                "minQuant": 100,
                                "maxQuant": 100000,
                                "maxPrintColors": 0
                            }
                        },
                        {
                            "method": "digital print",
                            "productionTimeList": [
                                {
                                    "name": "Standard",
                                    "cost": 0,
                                    "time": 50
                                }
                            ]
                        },
                        {
                            "method": "heat transfer",
                            "productionTimeList": [
                                {
                                    "name": "Standard",
                                    "cost": 0,
                                    "time": 50
                                }
                            ]
                        }
                    ],
                    "categories": [
                        {
                            "isDefault": true,
                            "name": "Totes",
                            "categoryId": "57ed30cb0a0cab3686ccaae7"
                        }
                    ]
                }
            }
        ]
    },
    "aggregations": {
        "embellishmentMethodsGlobal": {
            "doc_count": 3,
            "unfilteredFacets": {
                "doc_count": 2,
                "nestedEmbellishmentMethodsUnique": {
                    "doc_count": 4,
                    "embellishmentMethods": {
                        "doc_count_error_upper_bound": 0,
                        "sum_other_doc_count": 0,
                        "buckets": [
                            {
                                "key": "debossed",
                                "doc_count": 1
                            },
                            {
                                "key": "digital print",
                                "doc_count": 1
                            },
                            {
                                "key": "embroidery",
                                "doc_count": 1
                            },
                            {
                                "key": "heat transfer",
                                "doc_count": 1
                            }
                        ]
                    }
                }
            }
        }
    }
}

Can somebody show me how to fix this please or maybe you know how to debug this? Is there a way to see aggregated documents somehow?