I wonder on which DJI Assistant will work on Mac OS Ventura V.13.0.1 for updating the Avata2, Googles 3, MC3 and RC3.

I'm a bit computer illiterate.  Not the specific answer you are seeking.

Not absolutely sure. But have downloaded other software (Betaflight Configurator and ELRS Configurator) onto a mac running the OS prior to Sonoma.  IF DJI Assistant is not from the Apple App store or "approved" Apple developer like Betaflight and ELRS Configurator you will need to go through a few additional steps to bypass IIRC the "GateKeeper" security program on MacOS.  Simple process. Just google for instructional YTube videos if unfamiliar with the process.  Worse case for whatever reason that DJI Assistant does not work is just the time wasted to download and then delete the program.  Haven't looked into DJI Assistant. Somewhere at DJI there should be system requirements listed.
Are you using the DJI Fly "smart" phone app?  I've only used it for one firmware update when 1st purchasing the A2 back in April. Worked fine.

Yes, it will work (it's not signed by an active Apple Developer account so with default macOS security settings you need to right-click on the icon and click open in order to run the installer, but afterwards it will be fine), but you don't really need it as everything can be done via DJI Fly on your smartphone.

Hi there,

Thank You for reaching out. We are truly sorry for the inconvenience you are experiencing.

Unfortunately, DJI Assistant 2 doesn't support 10.15≤MacOS<11.0 and MacOS ≥ 11.0

I hope this information has helped to clarify your inquiries. If you have any other questions, kindly let us know. Thank You!

DJI Gamora Posted at 9-4 00:31
Hi there,

Thank You for reaching out. We are truly sorry for the inconvenience you are experiencing.

Huh? It works perfectly fine on Ventura and Sonoma, both of which are >11.0.