Extracting data from nested dict in ansible with conditional checks in the list?

I'm stuck with the following issue.
My JSON data looks like this:

[
   {
      "clusters":[
         {
            "id":"1",
            "name":"cluster1"
         },
         {
            "id":"2",
            "name":"cluster2"
         }
      ],
      "tag":"a"
   },
   {
      "clusters":[
         {
            "id":"3",
            "name":"cluster2"
         }
      ],
      "tag":"b"
   }
]

What I am trying to do is extracting the tag values which are connected to a certain cluster (say, cluster1). So, I need to check if cluster1 is in the list of clusters[*].name somehow.

Here is my playbook:

- name: "Test"
  hosts: localhost
  gather_facts: False

  vars:
  - test:
        - clusters:
            - name: "cluster1"
              id: "1"
            - name: "cluster2"
              id: "2"
          tag: "a"
        - clusters:
            - name: "cluster2"
              id: "3"
          tag: "b"

  - set_fact:
      tags_test: "{{ test | community.general.json_query('[?clusters[].name==`cluster1`].tag') }}"

  - debug:
      msg: "{{ tags_test }}"

What I am expecting to get is the tag value: "a".

This is the result:

TASK [debug] ******************************************************
ok: [localhost] => {
    "msg": []
}

I also tried combining json_query with selectattr, but, no luck.

With JMESPath you have to nest your conditions because you are looking for an object named cluster1 inside the the JSON array clusters which is nested in another array:

[?clusters[?name==`cluster1`]].tag|[0]

So as a task,

- set_fact:
    tags_test: >-
      {{ test | community.general.json_query(
           '[?clusters[?name==`cluster1`]].tag|[0]'
      ) }}