Part of macOS
TouchBarServerTouch Bar
○ Leave it
Draws the Touch Bar on Macs that have one.
What it is
Runs the Touch Bar’s buttons and controls.
If you stop it
macOS starts it again straight away. Leave it.
The verdict
○ Leave it. Part of macOS, or something that starts again by itself. You never need to close these.
In Activity Monitor
TouchBarServerControlStripDFRHUDSpacesTouchBarAgentNowPlayingTouchUI
From Procession’s guide, in the words the app shows.