Hi!
As far as I know this is normal behaviour on these consoles. When one of the displays breaks, they stop booting up, the only solution is replacing the faulty screen.
You can use [guide|36346|this teardown guide] to get to the upper LCD. Upper LCDs are not very expensive and you can get them on [https://amzn.to/2R0civB|Amazon (here)]. The biggest issue however is the fact that it's quite tricky to install it, since there is a high chance of damaging the ribbon cable when putting the console back together, but if you are careful you shoud be able able to get this done.