I am trying to connect to Intercom from Salesforce using External services.

https://developers.intercom.com/intercom-api-reference/reference/search-for-contacts

This is what the specification says. And I have the token and tried this on Postman and it works fine

$ curl https://api.intercom.io/contacts \ -X POST \
-H 'Authorization:Bearer <Your access token>' \
-H 'Accept:application/json'
-H 'Content-Type: application/json' -d

Now in External service I provided the JSON (see below).
Now where do I provide the auth code? I need to create a flow, use this external service and update a field from the values I get in response.

Please help me.

{
  "openapi": "3.0.1",
  "info": {
    "title": "SerachContactIntercom",
    "description": "Serach Intercom Active Contacts",
    "version": "0.1"
  },
  "servers": [
    {
      "url": "https://api.intercom.io"
    }
  ],
  "security": [
    {
      "bearerAuth": []
    }
  ],
  "paths": {
    "/contacts/search/": {
      "post": {
        "description": "Auto generated using Swagger Inspector",
        "parameters": [
          {
            "name": "Intercom-Version",
            "in": "header",
            "required": false,
            "style": "simple",
            "explode": false,
            "schema": {
              "type": "string"
            },
            "example": "2.6"
          }
        ],
        "requestBody": {
          "content": {
            "application/json": {
              "schema": {
                "$ref": "#/components/schemas/contacts_search_body"
              },
              "examples": {
                "0": {
                  "value": "{\n\"query\":  {\n    \"field\": \"last_seen_at\",\n    \"operator\": \">\",\n    \"value\": \"1646149510\"\n  }\n}"
                }
              }
            }
          }
        },
        "responses": {
          "200": {
            "description": "Auto generated using Swagger Inspector"
          }
        },
        "servers": [
          {
            "url": "https://api.intercom.io"
          }
        ]
      },
      "servers": [
        {
          "url": "https://api.intercom.io"
        }
      ]
    }
  },
  "components": {
    "schemas": {
      "contactssearch_query": {
        "type": "object",
        "properties": {
          "field": {
            "type": "string"
          },
          "value": {
            "type": "string"
          },
          "operator": {
            "type": "string"
          }
        }
      },
      "contacts_search_body": {
        "type": "object",
        "properties": {
          "query": {
            "$ref": "#/components/schemas/contactssearch_query"
          }
        }
      }
    },
    "securitySchemes": {
      "bearerAuth": {
        "type": "http",
        "scheme": "bearer",
        "bearerFormat": "JWT"
      }
    }
  }
}