There isn’t any way to disable update notification overall. Those notifications don’t come out often – you can see that one was for a release 7 months ago. The “Ignore” button should ordinarily be enough to get it to stop. Unfortunately, I can see that there was a bug discovered in January, that was fixed in the next release (24.04.x). [If you are going to upgrade though, you should go all the way to 24.06.x, because 24.04 had some hanging/crashing issues for some folks.]
Have you tried clicking “Yes” in the update notification instead? Updating Anki requires a download and then running the installer. If you just do what the annoying box wants (download), but don’t install – I wonder if it will leave you alone?
However – on the add-ons front –
Which of those add-ons are you concerned will break on a newer version of Anki?