Ian_Omar In my experience if the Teams app is not automatically starting, then it will not update. This has become more apparent as we've started trialing the new Teams client. We are seeing warnings from our Microsoft Defender for Endpoint Vulnerability Management that Teams has vulnerability that are not addressed and shows Teams is not updated, however when we open the new Teams client and check settings, it is showing up to date.
It appears that the older classic Teams binaries are still there and are not being updated. Confirmed with the version showing in the control panel and on the classic Teams executable. Checked against builds here https://learn.microsoft.com/en-us/officeupdates/teams-app-versioning and downloaded/ran the specific Teams client using the method SanjayKumar_Pendyala indicates above. Testing deployment with an Intune Win32 app until we see what the Teams migration path looks like for these users.
Other unverified option is to run the classic Teams Update.exe in the users profile folder but appears to require update location information anyway.