Customizing Elastic Map Service Basemaps

No idea what is wrong, but you seem to be doing it correctly. You only need to mount the style-local.json file to /usr/src/app/tile/styles/dark-matter/style-local.json.

Are you sure that the same request is made? Can you double check filtering in the browser console network tab for dark-matter/style.json and check if both Kibana and the EMS Ui are requesting the same URL?

I mounted a reduced dark matter style file shared below at the mentioned path, and I got the desired result in both EMS UI and Kibana.

{
  "version": 8,
  "name": "Dark Matter",
  "sources": {
    "openmaptiles": {
      "type": "vector",
      "url": "mbtiles://{v3}"
    }
  },
  "sprite": "{styleJsonFolder}/sprite",
  "glyphs": "{fontstack}/{range}.pbf",
  "layers": [
    {
      "id": "background",
      "type": "background",
      "paint": {
        "background-color": "#3b4252"
      }
    },
    {
      "id": "water",
      "type": "fill",
      "source": "openmaptiles",
      "source-layer": "water",
      "filter": ["==", "$type", "Polygon"],
      "layout": {
        "visibility": "visible"
      },
      "paint": {
        "fill-color": "#2e3440",
        "fill-antialias": false
      }
    },
    {
      "id": "boundary_country",
      "type": "line",
      "source": "openmaptiles",
      "source-layer": "boundary",
      "filter": ["==", "admin_level", 2],
      "layout": {
        "line-cap": "round",
        "line-join": "round"
      },
      "paint": {
        "line-color": "rgb(83, 89, 102)",
        "line-width": 1,
        "line-blur": 1,
        "line-opacity": 1
      }
    },
    {
      "id": "place_country_major",
      "type": "symbol",
      "source": "openmaptiles",
      "source-layer": "place",
      "filter": [
        "all",
        ["==", "$type", "Point"],
        ["<=", "rank", 1],
        ["==", "class", "country"],
        ["has", "iso_a2"]
      ],
      "layout": {
        "visibility": "visible",
        "text-field": "{name_en}",
        "text-font": ["Metropolis Regular", "Noto Sans Regular"],
        "text-transform": "uppercase",
        "text-max-width": 6.25,
        "text-size": 15,
        "text-anchor": "center"
      },
      "paint": {
        "text-halo-width": 1.4,
        "text-halo-color": "rgb(22, 26, 28)",
        "text-color": "rgb(152, 162, 179)"
      }
    }
  ],
  "id": "dark-matter"
}