How do I implement the synonym dictionary - step-by-step?

I want to look for all the jackets that are blue (in the "name" and "tags" fields).
But the color blue has many shades.
How do I implement the dictionary of synonyms?
(I tried many things, without conclusive results with a multitude of depreciation and errors.)
I currently use version 7.8 and the ability to update to 7.15.

References

#"analysis/synonym.txt"
# these colors are synonymous 
cyan, cobalt, blue, pacific blue
PUT /test_index
{
  "settings": {
    "number_of_shards": 1,
    "number_of_replicas": 0
  },
  "mappings": {
    "properties": {
      "name": {
        "type": "text"
      },
      "tags": {
        "type": "text"
      },
      "description": {
        "type": "text"
      },
      "status": {
        "type": "short"
      }
    }
  }
}
POST _bulk
{ "index" : { "_index" : "test_index", "_id" : "1" } }
{"name": "Product blue jacket XXL", "tags": ["blue", "jacket", "tag1"], "status": 1, "description": "Lorem ipsum dolor sit amet, consectetur adipiscing elit."}
{ "index" : { "_index" : "test_index", "_id" : "2" } }
{"name": "Product cyan jacket", "tags": ["cyan", "jacket", "tag2"], "status": 1, "description": "Lorem ipsum dolor sit amet, consectetur adipiscing elit."}
{ "index" : { "_index" : "test_index", "_id" : "3" } }
{"name": "Product cobalt jacket", "tags": ["cobalt", "jacket", "tag2"], "status": 1, "description": "Lorem ipsum dolor sit amet, consectetur adipiscing elit."}
{ "index" : { "_index" : "test_index", "_id" : "4" } }
{"name": "Product crystal blue", "tags": ["blue", "crystal", "tag4"], "status": 1, "description": "Lorem ipsum dolor sit amet, consectetur adipiscing elit."}
{ "index" : { "_index" : "test_index", "_id" : "5" } }
{"name": "Product five", "tags": ["blue", "red", "tag5"], "status": 1, "description": "Lorem ipsum dolor sit amet, consectetur adipiscing elit."}
{ "index" : { "_index" : "test_index", "_id" : "6" } }
{"name": "Product blue large jacket", "tags": ["blue", "jacket", "tag6"], "status": 2, "description": "Lorem ipsum dolor sit amet, consectetur adipiscing elit."}
GET test_index/_search/
{
  "query": {
    "bool": {
      "filter": [
        {
          "term": {
            "status": 1
          }
        }
      ],
      "must": {
        "multi_match": {
          "query": "blue jacket",
          "type": "best_fields",
          "fields": [
            "tags^10",
            "name^1"
          ],
          "tie_breaker": 0.3,
          "operator": "and"
        }
      }
    }
  },
  "sort": {
    "_score": "desc"
  }
}

I want to thank you in advance

Welcome to our community! :smiley:

You don't seem to have anywhere in your index definition that imports your synonyms though. Synonym token filter | Elasticsearch Guide [7.15] | Elastic has an example at the top of the page, and you have none of what it requires.

Please do upgrade, 7.8 is very nearly EOL.