Cutting the cable, lets talk options and media setups
I’ve been following this guy on YouTube for a few years.
He has tons of videos and I think he would answer your questions if you contact him.
I have this one. It’s says indoor / outdoor, but obviously large for an indoor window. Maybe you could hide it behind some blinds.
Lastly, there’s an app for your phone called antenna point. It’ll show you where the broadcast are coming from, hopefully you have a window pointed in that direction.