Test everything for yourselves of course, because it seems like Teams changes from week to week.
With recent versions of new Teams, you no longer need both versions of Teams installed to have the Meeting add-in in Outlook.
Both new and classic Teams include the Meeting add-in (but different versions). However, on a computer with both new and classic Teams installed, the add-in will be de-registered when classic Teams is uninstalled and as a result, unavailable in Outlook.
By de-registering the add-in, I mean that uninstalling classic Teams changes the registry entries at:
HKEY\_CLASSES\_ROOT\CLSID\{19A6E644-14E6-4A60-B8D7-DD20610A871D}
HKEY\_CLASSES\_ROOT\TeamsAddin.FastConnect\CurVer
HKEY\_CLASSES\_ROOT\TeamsAddin.FastConnect.1\CLSID
HKEY\_CLASSES\_ROOT\TypeLib\{C0529B10-073A-4754-9BB0-72325D80D122}
HKEY\_CLASSES\_ROOT\WOW6432Node\CLSID\{19A6E644-14E6-4A60-B8D7-DD20610A871D}
This is unfortunate, because like many other organizations, we have added new Teams to computers that still have classic Teams installed, but are now concerned that the add-in will disappear from Outlook whenever classic Teams is uninstalled (which standard users can do from Add & Remove Programs, or Microsoft may do in the future).
Microsoft posted some steps that end users could follow to repair the missing Meeting add-in here: https://support.microsoft.com/en-us/office/teams-meeting-add-in-is-missing-in-outlook-desktop-after-updating-to-new-teams-f1dfc3e7-8f48-4320-823b-e13a5aca60c3
What I would really like to see is that 1) installing or even just using new Teams updates the Meeting add-in to the one that comes bundled with new Teams, and 2) the uninstaller for classic Teams leaves the Meeting add-in alone.
Thanks!