fix: Enable provide with stateful callable and cleanup

[enrico-stauss]

Description

Fix the Provide class for callable class instances returning an (Async) Generator.

Closes #4457

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 97.83%. Comparing base (b4fad37) to head (c19e531).

Additional details and impacted files

@@           Coverage Diff           @@
##             main    #4459   +/-   ##
=======================================
  Coverage   97.83%   97.83%           
=======================================
  Files         296      296           
  Lines       15295    15300    +5     
  Branches     1713     1714    +1     
=======================================
+ Hits        14964    14969    +5     
  Misses        189      189           
  Partials      142      142           

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[enrico-stauss]

Hi @provinzkraut , thanks for your review, that was an obvious oversight on my end. I commited as per your suggestion and the PR should be ready to merge :)

[github-actions]

Documentation preview will be available shortly at https://litestar-org.github.io/litestar-docs-preview/4459

[enrico-stauss]

Hey @provinzkraut , any chance we can move on with this PR? :)