I would like a Windows executable that will show the menu. I want to create a Windows shortcut and Pin to taskbar or Pin to Start. I would tap the icon on the taskbar to display the menu.

An option is to add a parameter to the SystemTrayMenu.exe command line that would show the menu, rather than restart SystemTrayMenu. For example,

SystemTrayMenu.exe show

My frequently used apps are pinned to the taskbar. I will use SystemTrayMenu to launch occasionally used apps - curated and categorized. I won't use the menu enough to turn on "Show in taskbar". "Show in taskbar" has some undesirable side-effects: always in the Alt-Tab and Win-Tab lists; menu appears when switching virtual desktops and other times. I generally like tapping an icon on a touchscreen rather than clicking with the trackpad or hitting a hotkey. An icon on the taskbar is twice the size as the icon in the tray - larger is better for tapping on a touchscreen.

As a workaround, I created an autohotkey script that simply sends the Ctrl-Win hotkey to trigger the menu. I created a shortcut, and pinned it to the taskbar. I tap the taskbar to open the menu. I figure there are others who would also want this feature.