Widgets Bugs on macOS 13.2.1

1 - Restart in Safe Mode. This will perform a Disk Repair, clear cache files and only load Apple Software, extensions and fonts. The boot up will be slow and can take some time - Normal.

2 - Safe Mode will also eliminate Third Party Software, extensions and drivers from loading. It will only load the Minimum amount of Core Apple Processes to allow the the computer to function at a reduced Level of Performance 

3 - Does the issue present in this mode ?

4 - Sometimes a Safe Boot followed by a Normal Boot will just put things right.

5 - If not - there could be something in the main User Account playing up. To further isolate this - Set up users, guests, and groups on Mac. Then log out of the Main User account and log into the dummy account and test again if the issue persists.

6 - If the issue is present in the dummy account - then, this appears to be a System Wide issue on the computer.

7 - Download the Application Etrecheck directly from the Developer.

This is a Diagnostic Tool that makes no changes to the computer.

It makes a coherent and readable inventory of both the Hardware and Software used on the computer 

The application is free or paid from added features. 

The Report will Not Reveal Any Personal Information. 

Post back the Full Report - copy and paste - >>>> using the Additional Text Icon ( 3rd Icon to last ) <<<<

Hello ForeverMorning,

After adding the desired widget, such as the 'World Clock' one, you may right-click on it in the list, or hold Control and click on it. That should help present the Edit option in the pop-up.

Add and customize widgets in Notification Center on Mac - Apple Support

If the widgets are unresponsive, you may try restarting the Mac, which can help with some odd behaviors that come up: Shut down or restart your Mac

On your Mac, choose Apple menu  > Shut Down.

It can also help to test things within safe mode, which helps to rule out some startup items from conflicting: Start up your Mac in safe mode - Apple Support

Cheers.

The user may consider reading up on what the Apple Support Community Forums are and are Not.

The following link will present an Over View of all aspects of the Forums including " Most answers are provided by other Communities users just like you—not by Apple. "

How to use Apple Support Communities

There after suggest follow the previous advise from above post by @Eric_G1

To communicate with Apple regarding ones displeasure with macOS in general or specific to macOS Ventura refer to additional suggestions below

1 - Get Support Choose a product and we’ll find you the best solution.Start now and open an Apple Support Ticket as they are Apple Employees to deal will these types of issues . 

2 - Product Feedback - Apple and make it known to Apple regarding this ongoing issue