Fix ERROR-level basedpyright type checking issues

[shivachethanreddy]

This PR fixes ERROR-level issues reported by basedpyright / pyright.

Changes include:

• Fixing missing super().init() calls required by static analysis
• Correcting generic container typing
• Narrowing boolean handling so string → bool conversions are correctly understood
• Fixing container usage that caused type errors
• Updating pdoc_overrides to use an explicitly typed result (bool | str)

All fixes were verified locally using basedpyright.
Warnings were intentionally left out of scope.
No runtime behavior or API changes were made.