Critical alerts are just done for that: have precedence over everything else.
So it is normal it interrupts Teams audio. But surprising that you are forced to relaunch Teams to get audio back.
What your app's users could do is turn off critical alerts for your app during the time of a Teams meeting for instance.
But if you got an entitlement for critical alert, there must be some serious reason (and thus risky to stop them).
May read this:
https ://www.howtogeek. com/412925/what-are-critical-alerts-on-iphone-and-ipad-and-how-do-i-enable-them/
Topic:
App & System Services
SubTopic:
Notifications
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