Safari not available as Mac default browser

So here's a new glitch I have encountered a couple times in the past months. I click on a link somewhere on my Mac (e.g. a link to online help) and I get an error saying it can't open a certain Parallels VM to open Firefox or whatever.

I go to System Settings > Desktop & Dock > Default web browser and Safari is not in the list. Instead I have a list of various browsers from my VMs, Firefox and Edge from one, Edge from another VM, Internet Explorer from yet another VM, all in total 8 browsers all from Parallels VMs, but no Safari.

Manually opening Safari can fix this sometimes. This is on Sonoma and Parallels 19.

What's the fix?

 

What does it show in the settings in Safari? Is there a Set Default button?