🏛️Product base types: Add support

[antirotor]

Is there an existing issue for this?

• I have searched the existing issues and added correct labels.

Please describe the feature you have in mind and explain what the current shortcomings are?

Add support for product base types in API, This is probably required for ynput/ayon-core#1294 and tool changes in Loader, etc.

Suggested implementation?

Support for product base types is added ynput/ayon-backend#575

Describe alternatives you've considered:

No response