chore: Remove the `package_api_docs` lint in next release

[parlough]

Description

The lint is not functional and is set to be deprecated and removed (https://github.com/dart-lang/linter/issues/5107).

Requirements

• [ ] The package_api_docs is no longer enabled by the package

Additional Context

The removal does not necessitate a release on its own as deprecated/removed lint errors aren't surfaced if from an options file that is imported through include.

Thanks!