Black screen when attempting to boot from installation USB

So you get to the grub menu and then there’s a black screen? The Intel iGPU shouldn’t be the problem.

That may be, but you’re forgetting that your laptop’s hardware is over 20 years old.
Check the checksum of the ISO.
Try ventoy and try a different USB stick.
Have you tried all the fast boot settings (minimal/thorough/auto) in your BIOS?

If none of them work, try the LTS version: