Microsoft Teams on macOS Golden Gate: share your screen and allow remote control

How can somebody see my screen?

Start sharing in Microsoft Teams and stop again straight away. That sounds roundabout, but it is the trick: macOS only lists an application after it has asked once. Before that you will look for it in vain.
Open the Apple menu at the top left and choose System Settings . Faster: press Command+Space and type " System Settings ".
Go to Screen & System Audio Recording .
Lets the application read what is on the screen — which is what the others then see.
System Settings > Privacy & Security > Screen & System Audio Recording
Open Settings nowOpens System Settings directly at the right place. If nothing happens, the path beside it gets you there just as well.
Find Microsoft Teams in the list. If it is not there at all, the + below the list is the way in.
Turn on the switch next to Microsoft Teams .
tccutil reset ScreenCapture com.microsoft.teams2
In the meeting, click Share at the top and choose the whole screen — not just a window, or control will not be possible later.
Now really quit Microsoft Teams — Command+Q, not just closing the window — and start it again. macOS does not apply a freshly granted permission to a running application, and this is exactly where most people get stuck: everything is set correctly and it still does not work.

Everything in the section above still applies. Only this is added:

Go to Accessibility .
Lets the application move the mouse and type. Without it somebody can watch, but touch nothing.
System Settings > Privacy & Security > Accessibility
Open Settings nowOpens System Settings directly at the right place. If nothing happens, the path beside it gets you there just as well.
Find Microsoft Teams in the list. If it is not there at all, the + below the list is the way in.
Turn on the switch next to Microsoft Teams .
tccutil reset Accessibility com.microsoft.teams2
First check in the Teams settings under General that Use macOS content sharing is OFF. If it is on, Teams disables handing over control by itself — the button stays grey no matter what is granted on the Mac.
While you are sharing, a bar appears at the top. Click Give control there and pick the helper.

How to tell which permission is missing — the symptoms resemble each other, the causes do not.

Screen recording: The others see a black image or only the desktop wallpaper, although Teams shows the share as active.
Accessibility: Control has been handed over, but the other pointer does not move.