The custom dialog in Teams meeting is not supported now.
Meanwhile, there is no request/ give control activity in audit log for Teams. The following image shows the Teams activities in Audit log.
I have created a user voice about this feature in this link. You could vote for it.
Microsoft will always focus on customer’s feedback and experience. Some new features would be added to the services based on customers' feedback in the future, and your good ideas will be very helpful for them to improve the service.
Your time, understanding and cooperation will be highly appreciated.
If the response is helpful, please click "Accept Answer" and upvote it.
Note: Please follow the steps in our documentation to enable e-mail notifications if you want to receive the related email notification for this thread.