For users who belong to multiple organizations, OpenAI expects you to pass a header specifying which organization and project is used for an API request.
Snippet from their docs:
curl https://api.openai.com/v1/models \
-H "Authorization: Bearer $OPENAI_API_KEY" \
-H "OpenAI-Organization: YOUR_ORG_ID" \
-H "OpenAI-Project: $PROJECT_ID"
Would you be amenable to extending the provider configuration to accept openai_organization and openai_project as new configuration keys?