Help recovering files from broken laptop (details explained)

So my old laptop’s screen is completely broken— multicolored lines cover the whole screen and parts of it are completely black. It started as just one sliver of black on one side because the screen started separating but then it got worse and worse and now I can’t see anything at all. However, it still turns on. I hear it making noises, I can turn it on and off, I just can’t see anything on the screen.

I have some files on this laptop I would really like to restore. I had an idea but I need to know how/if it’s possible:

Could I somehow project my broken laptops screen onto a different laptop/moniter? Or a tv? Keeping in mind that the laptop technically works, I just can’t see what I’m doing to navigate. Do I need some sort of adapter to do this?

Do you have any other ideas how I can recover files off of this computer?