Same issue here on Surface Pro 7 using touch on screen. Followed link for batch file to uninstall, downloaded latest version, reinstalled without changing any default settings and the issue persists. This is new behavior so I believe it is related to a MS update. The only "buttons" that work in the start menu are start, desktops, and tray buttons when Start 11 is running. When Start 11 is disabled, touch functionality returns.
Running Win 11 build 22000.282 experience pack 1000.22000.282.0 with latest update 2021-10 Cumulative Update for Windows 11 for x64-based Systems (KB5006746) installed two days ago (which is when I believe the issue started).