After Screen replacement shuts off when lid is closed

Your system uses a magnet to activate a Hall sensor when the lid is opened & closed.

So I’m suspecting you had additional damage beyond the display.

Using a small rare earth magnet and a steel paper clip you should be able to locate the hall sensor sliding it across the keyboard case top along the edge just in front of the ports. Using a thin strip of masking tape make note of that location and folding down the display so you can transfer that location to the lid. With that mark on the lid you should be able to pass the steel paper clip across and feel the tug of the magnet just behind the bezel plate. Is the location aligned or is it off.

In addition to the location check to see if the magnet passing across the marked spot on the top side of the case turns on and off the display. If it doesn’t then the logic board will need service.