Hi Dmitry,
I'm Ahmed and I am here & happy to help.
I understand that you would like to receive high priority notifications while you are presenting or sharing your screen on Teams.
One possible way to achieve this is to use priority notifications for Teams messages.
Priority notifications notify users every 2 minutes for a period of 20 minutes or until messages are picked up and read by the recipient. You can mark a message as urgent by selecting Priority under More options when composing a message.
https://joannecklein.com/2020/01/16/priority-no...
I hope this helps! Let me know if you have any further questions or concerns.
Note: This is a non-Microsoft website. The page appears to be providing accurate, safe information. Watch out for ads on the site that may advertise products frequently classified as a PUP (Potentially Unwanted Products). Thoroughly research any product advertised on the site before you decide to download and install it.