curl --request PATCH \
  --url https://{APPLICATION_ID}.algolia.net/agent-studio/1/providers/{provider_id} \
  --header 'Content-Type: application/json' \
  --header 'X-Algolia-API-Key: <x-algolia-api-key>' \
  --header 'X-Algolia-Application-Id: <x-algolia-application-id>' \
  --data '
{
  "name": "<string>",
  "input": {
    "apiKey": "<string>",
    "baseUrl": "<string>"
  }
}
'

{
  "id": "3c90c3cc-0d44-4b50-8888-8dd25736052a",
  "name": "<string>",
  "providerName": "<string>",
  "input": {
    "apiKey": "<string>",
    "baseUrl": "<string>"
  },
  "createdAt": "2023-11-07T05:31:56Z",
  "updatedAt": "2023-11-07T05:31:56Z",
  "lastUsedAt": "2023-11-07T05:31:56Z"
}