GNU/Linux Mint 21 Installing Intel Iris Xe GPU Driver Guide
The Tutorial shows you How to Install Intel Iris Xe GPU Driver on Mint 21.x Vanessa/Vera/Victoria/Virginia LTS GNU/Linux Computers.
The Intel Iris Xe GPU Graphics equipped Devices are already supported by the following Kernel Module:
Especially relevant, if you want to Check your Interface ID first see: Graphics Card Name Lookup Guide.

Intel Iris Xe GPU Driver Linux Mint 21 Setup Guide
On Linux Mint 21 Noble the Kernel 5.15+ is already included by default and supports Intel Iris Xe.
In case, to Check your System’s Kernel Release:
uname -r
How to QuickStart with Command Line on GNU/Linux:
To ensure Best Performance and Stability you should keep your System updated: