BUG: Fix TypeError in assert_index_equal when comparing CategoricalIndex with check_categorical=True and exact=False
#61935 
- Fixes a bug where `assert_index_equal` raises a `TypeError` instead of `AssertionError` when comparing two `CategoricalIndex` objects with `check_categorical=True` and `exact=False`.

- Ensures consistency with expected testing behavior by properly raising an `AssertionError` in these cases.


Please let me know if my approach or fix needs any improvements . I’m open to feedback and happy to make changes based on suggestions. 
Hi @mroeschke
I've opened a pull request addressing
BUG: Fix TypeError in assert_index_equal when comparing CategoricalIndex with check_categorical=True and exact=False ([#61941])
The changes are ready for review.

I'd really appreciate it if you could take a look and provide feedback .
Please let me know if anything needs to be improved or clarified.

Thanks! Hi @mroeschke,

Thank you for your review. I’ve updated the PR based on your feedback ,please have a look when convenient.

Additionally, I noticed one check failure (pre-commit.ci-pr) and wanted to ask if you could help clarify the reason behind it. Apologies if this isn't the appropriate way to raise this, please do let me know the correct approach if needed.

Thanks again! <img width="885" height="477" alt="Checks fail" src="https://github.com/user-attachments/assets/f5ab18a6-533e-4641-a10c-8a533d596ab2" />

Hi @jorisvandenbossche, I ran pre-commit locally and all hooks passed. However, the GitHub checks are still showing a failure. Could you please advise if I’ve missed something?
 Hi @mroeschke
When you have a moment, could you please review this PR? I've been working on resolving the check failure, but haven't been able to pinpoint the issue yet. Any insights or suggestions you could provide would be greatly appreciated.

Thank you! Hi @mroeschke 
I just wanted to check in on this PR to see if there’s anything further you’d like me to update or improve.
Thankyou !