I received the monitor controller board way early than expected and got a power supply from Amazon (12V 5A to get enough juice for the board and the RPI as advised):
I am very happy to announce that my old laptop’s screen works!
And the board has indeed a 5V output which I tested and seems to work fine!
Next step: get some header pins and cable to power up the RPI from the controller board!
Thank you guys again for your advise.
Have a good weekend