curl --request PATCH \
  --url https://example.algolia.net/agent-studio/1/providers/lorem \
  --header 'accept: application/json' \
  --header 'content-type: application/json' \
  --header 'x-algolia-api-key: ALGOLIA_API_KEY' \
  --header 'x-algolia-application-id: ALGOLIA_APPLICATION_ID' \
  --data '
{
  "name": "lorem",
  "input": {
    "apiKey": "lorem",
    "baseUrl": "lorem"
  }
}
'

{
  "createdAt": "<string>",
  "id": "<string>",
  "input": {
    "apiKey": "<string>",
    "baseUrl": "<string>"
  },
  "name": "<string>",
  "providerName": "<string>",
  "updatedAt": "<string>",
  "lastUsedAt": "<string>"
}