Lists the Applications (Networks) this participant belongs to, with role badges and per-customer policy.

The inverse of the per-Application `People & groups` list: for one participant it returns every Application they hold a live relationship in, each with the same composable role badges the Application's People projection shows (Customer / Internal / Operator / Advisor / Observer / Channel), the served relationship key, the §17.8 response mode (agent mode), and any per-customer dedicated-operator escalation override. Drives the Directory participant detail's Applications tab. Grants are managed on the Application surface — this endpoint is read-only. Returns 404 when the participant does not exist; an empty list when they exist but are in no Application.

curl -X GET "https://api.fruxon.com/v1/tenants/string/participants/497f6eca-6276-4993-bfeb-53cbbbba6f08/applications"

{
  "items": [
    {
      "networkId": "00000000-0000-0000-0000-000000000000",
      "networkName": "string",
      "relationshipKey": "SERVED",
      "agentMode": "ON",
      "escalationOverride": {
        "tiers": [],
        "mode": "UNSPECIFIED",
        "allOperatorParticipantIds": []
      },
      "badges": []
    }
  ],
  "nextPageToken": "string",
  "totalCount": 0
}

{
  "type": "string",
  "title": "string",
  "status": 0,
  "detail": "string",
  "instance": "string",
  "property1": null,
  "property2": null
}