Additional features, settings, or issues not covered by specific Microsoft Teams categories
Hi BenBo_2020,
Thanks for post your question in our forum, I have moved your thread to the correct category “Office 365 for admins / Microsoft Teams / Office 365 for business”, if you have any other questions when using Teams in the future, welcome to post a new thread in our forum.
Based on your description, you want to hiding the Teams control task bar (like below picture). I just tested this on my side, the task bar will auto hiding after you move your mouse outside of the sharing screen for a while. Could you please test this on your side to see if this works for you?
Hope above information helps. Please feel free to share the result with us or let me know if you need further suggestions, I'll happy to continue to help you.
Best regards,
Jennifer