Not sure but quick search seems to indicate that the notification in your screenshot is one that is controlled by Chrome settings and not MATE. May be wrong but my notifications pop up and close by themselves. Kinda think the MATE ones are system items. Just another thought. Does clicking in the area where X (close) should be does it close? (looked at images and see the x you are referring to), another thought maybe try different theme in Chrome or browser you are using.
I know you have set up but this is where I based above opinion that the notification is not part of MATE
https://www.businessinsider.com/guides/tech/turn-on-pop-up-notifications-for-google-meets?op=1
Been wrong before and will definately be wrong again but trying. Another thought does it move if in Control Center / Popup Notifications / Change Positions? Chrome Position is discussed here:
https://superuser.com/questions/795190/change-location-of-google-chrome-notification-message
Edit: another thought does clicking on Click her to return to the video call when your're ready to stop presenting do anything?