Is there a way to put a button in the home app (in Catalina) on the desktop?

Question

I would like quick access to a home app button either in the dock or on the desktop.

I tried dragging a button to the desktop. I explored the menus. I cannot find a way to do it.

It would also be nice if there was also an option for home controls in Mojave (though I know the Home app is Catalina+ only), but the button I'd like to use is for controlling my KVM setup (I still use a 32 bit app on a Mac Mini running Mojave). But at least getting from the Catalina Mac to the Mojave Mac would be convenient.

Ways I currently can switch: Siri command, Home.app, Node-RED, and manually switching the 4 devices involved in my setup that the 2 computers share (USB switch, HDMI switch, Stereo connection, TV's HDMI channel).