The Note 20 Ultra doesn't use an LCD, so if you're looking at an LCD screen it is either the wrong part or the seller has mislabeled the screen as an LCD display.
Having replaced screens in the past, I've never heard of buying one with or without the frame nor am I sure what that even means.
Based on your description there's a line going across but the S Pen still works I'm not sure if the display itself is damaged or just the outer glass is cracked. It definitely sounds like your digitizer broke if your finger can't interact with the display. It is incredibly hard to replace just one layer of the display and your best bet it to replace the entire display not just one layer of it.
If you've never taken apart and repaired a phone before realize you risk completely ruining the device if you screw up. With the way new phones are glass and sealed by adhesives you need to use a heat gun and slowly pry the phone apart. Get it too hot and damage it, don't get it hot enough it's damaged, go to fast and break it prying it apart, etc.
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