Estimated cost to replace damaged screen for late 2013 Mac Pro 15”?

As your Mac ages, the other alternative is to contact a non Apple-authorized computer repair. They can get a used screen that is in good shape from a same-model Mac that died for other reasons, such as dark a glass of water on the keyboard.

You'd have to call Apple for that, were just other users here, don't tally thoigh, Apple doesn't work on them after 7 years for certain.