Problem is the web app isn’t fully compatible with Team apps and some things like the background filters are much worse than the Native App. Also some issues with screen sharing as well.I have to use Teams via O365 (web) so this requires me to enable 3rd party cookies so I can bounced between Office, Teams, etc. I use it on Chrome and it seems fine.
I did see that for Safari it’s in beta so Microsoft tells you to disable cross-site tracking in Safari until they figure it out. I haven’t tried it but I would assume it works.