Dictionary app: New Oxford American Dictionary broken

Then have a few suggestions ;

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 

Any Third Party Applications that will interfere with the normal operation of the OS,  is an invitation for disaster and comprise the Operating System

Certain Applications maybe available on the Apple Apps Store - this only means the Developer is prepared to pay Apple a portion on each sale. What the Application may do to the computer is up to the User to check this out before purchase

Should be removed as per Developers Instructions 

Seems to work fine for me. Try booting into Safe Mode, then restart normally.

How to use safe mode on your Mac - Apple Support

Am located in 🇨🇦

The " New Oxford American Dictionary " does work though the moniker ( US ) is not presented.

Sorry, I don't have an answer for you. I enabled the dictionaries you have enabled on two different Macs running Ventura. Hopefully someone will have an idea.

Also, no issues with my New Oxford American English (US) Dictionary on Ventura 13.1.