No, it is not a third-party. It is a just PostgreSQL database for logging everything. You can simply visit the /docs endpoint. It is just for authentication so that you can work with different users.
One Again its completely self hosted
Just visit the swagger create account and then gettoken to grab a token
> curl -X 'POST' 'https://innovatorved-whisper-api.hf.space/api/v1/users/get_t...'
while later saying
> curl -X 'POST' 'http://localhost:8000/api/v1/transcribe/?model=tiny.en.q5'
If you just change the first "curl" to also be localhost:8000, this will be cleared up.