ENH: Adds errors parameter to array strftime to enhance exception handling. 
- [x] closes #58178 
- [x] Tests added and passes in pandas\tests\arrays\test_datetimelike.py
- [x] Pre-commit passes
- [x] Added type annotations for new 'errors' parameter in changed strftime functions. 
- [x] Added an entry in the latest `doc/source/whatsnew/v3.0.0.rst` file in the enhancement section. 

Thanks for the PR, but the original enhancement request hasn't gotten enough feedback from the core team to move forward yet so closing this PR for now. If the original issue gains more support we can reopen this PR  Hi, thank you for looking at the PR. Are there any specific concerns with the way we are handling this issue or does the team just need more time to discuss if it is necessary? Thank you for the update.  The team just needs more time to discuss the original enhancement request. i.e. if an enhancement issue has `Needs Triage` or `Needs Discussion` labels, it is not suitable to open a PR yet I see. Thanks for the clarification!