Look in your BIOS and see if there's another boot mode you can use. Legacy, UEFI or however it's listed on your machine.
I've got a Lenovo Thinkpad T61 with an Intel Mobile GM965/GL960 GPU and 14.1" WXGA+ screen @ 1440x900 resolution running Kali Linux 2022.1. I didn't do anything special to get mine running.
It's out of service now after it notified me of a fan error on boot and shut down gracefully, but I have a shot of it and machine stats:
Kali GNU/Linux Rolling x86_64
kali-rolling 2022.1
Thinkpad T61 itachi
Intel Core 2 Duo T7700 @ 2.40GHz
4GB PC2-5300 RAM
Intel Mobile GM965/GL960 GPU
100GB Lenovo HDD @ 7200RPM
Ultrabay Slim CD-RW/DVD-ROM Combo II Drive
TFT 14.1" 1440x900 (WXGA+) widescreen
Intel HD Audio
Pix or it didn't happen:
Isn't that an Intel driver? I'm pretty sure it is... You might want to look here:
http://915resolution.mango-lang.org/