This is not solved for me.
the host: a Mac running macOS Monterey 12.5.1, GoToMyPC version 2022.08.3585
the client: any platform
the problem:
sometimes an e keystroke triggers a "fn-E" on the host and makes an Emoji picker appear on the host
sometimes a f keystroke triggers a "fn-F" on the host makes the host enter full screen mode
sometimes a d keystroke triggers a "fn-D" on the host and attempts to start dictation on the host
sometimes an m keystroke triggers a "fn-M" on the host and moves the focus to the menu bar on the host
The issue was described in detail in the early days of macOS Monterey.
The issue is NOT fully resolved now.
