Sorry if the following below is something I already mentioned before, I was trying to see if I can accept my answer as the solution. But unfortunately, it does not seem that there is an option for the author of the post to accept their own answer as the solution. Also there seems to be no option to delete a comment.
If anyone is still facing bullet issues in nested tables I recommend trying the following:
"Since the issue only happens in your Microsoft Word, I recommend repairing the Office app you have:
Press the Windows key + R, then type in:
appwiz.cpl
Then hit OK
Look for the Microsoft Office or Microsoft 365 app, which includes your Microsoft Word > Right-click, then select "Change" > Select "Quick Repair". Then follow the prompts to repair."
If Quick Repair does not work then I would suggest to try Online Repair
I got the idea above from Bernard while trying to solve a blinking issue https://learn.microsoft.com/en-us/answers/questions/5867572/mouse-pointer-blinking-too-many-times-in-ms-word . The blinking issue was resolved but unfortunately occurred again however it seems the bullet issues in nested tables is resolved.