Hi ! This is my come back, it's been a while ! 
I have two major problems but first, I have updated my HP to Ventura 13.6.4 and almost everything work !
Here I always have this internal screen problem : it doesn't work...
Brightness is working, well detected by MacOS and at the good resolution, hot plug hdmi is working but no screen ! I tried many ig-plateform-id and device-id (0000C087, 0001659, 0001B59...) : I have graphics acceleration but if I use another random ig-plateform-id and device-id, no graphics acceleration but the internal screen is working, not the hdmi.
I also tried to put the internal screen as external but no success. I tried to change the port-type without success (or I did it the wrong way)
Shutdown doesn't work, whereas restart and sleep do. Power management is enabled and work. I have tried ssd-shutdown-fix by the Dortania guide but nothing... SSDT-plug is optimized for the machine.
Here is my files, if you can take a look on it, I no more idea to make it working, please !