First, to answer your question, I'm using the "new" Homecoming launcher (from 2019 or 2020 or whenever that was). Second, it's not that I couldn't find Launch CoH anywhere, it just wasn't in Files and Folders, and I couldn't drag it into Files and Folders from Finder. So, just for kicks, I tried opening the Launch CoH in Launchpad, and it once it "installed" it worked like a charm! Go figure. For safety I checked Files and Folders, and there it was! With all permissions granted. Weird.
I don't quite understand what happened or why it works now, but it does, so...... long distance high five!! Thanks for all your help, SauronDP!!!