Elastic search filter based on array of object

You could use a Script Score function_score query

{
  "query": {
    "function_score": {
      "boost_mode": "multiply",
      "functions": [
        {
          "filter": {
            "match": {
              "boostDetails.Type": "Type1"
            }
          },
          "script_score": {
            "script": {
              "source": """
                double findBoost(Map params_copy) {
                    for (def group : params_copy._source.boostDetails) {
                        if (group['Type'] == params_copy.preferredBoostType ) {
                            return group['value'];
                        }
                    }
                    return params_copy._source['defaultBoostValue'];
                }
                
                return findBoost(params)
              """,
              "params": {
                "preferredBoostType": "Type1"
              }
            }
          }
        }
      ]
    }
  }
}

but keep in mind that if this particular boost type (Type1) does not exist in a given document, the filter of your function_score query will prevent this script from activation -> the defaultBoostValue won't be defaulted to at all.

So what I'd recommend instead is using a match_all filter instead and of course keeping the preferredBoostType:

{
  "query": {
    "function_score": {
      "boost_mode": "multiply",
      "functions": [
        {
          "filter": {
            "match_all": {}                          <---
          },
          "script_score": {
            "script": {
              "source": """

                ...

              """,
              "params": {
                "preferredBoostType": "Type1"
              }
            }
          }
        }
      ]
    }
  }
}

BTW, if your boostDetails array is not of type nested, you'll probably encounter unexpected and seemingly results as explained here and here.