Here is where it goes sideways :
libGL error: did not find extension DRI_Mesa version 1
Which might be related to:
but this:
libGL error: failed to load driver: i965
and this:
Display: x11 server: X.Org v: 1.21.1.4 driver: X: loaded: intel gpu: i915
While my own laptop shows:
Display: x11 server: X.Org v: 1.21.1.4 driver: X: loaded: modesetting
Makes me wonder if it tries to load the wrong driver, especially since I found this same error as a thread on the Linux-Mint site:
Linux Mint 21 versions do not use i965. The i965 renderer was used in Linux Mint 20 versions, but switched to crocus in Linux Mint 21 versions because of changes in the underlying graphics stack.
Also, your system should not be using the intel display driver. It is showing as an alternate which means you must have done something to try and force it to load. That may be why you are getting llmvpipe.
Graphics:
Display: x11 server: X.Org v: 1.21.1.4 driver: X: loaded: modesetting
unloaded: fbdev,vesa alternate: intel gpu: i915 display-ID: :0 screens: 1
According to my laptop, the following directories should not contain any intel related files:
/etc/X11/xorg.conf
/etc/X11/xorg.conf.d
/usr/share/X11/xorg.conf.d
Also the following mesa packages should probably be installed:
libdrm-common
libdrm-intel1
libdrm2
libgl1-mesa-dri
libgl1-mesa-glx
libgl1-amber-dri
libgl1
libglapi-mesa
libglu1-mesa
libglx-mesa0
libglx-amber0
libxcb-glx0
Remove the intel package (if you added it) and any references to it you might have added to any files and reboot the computer and see if the proper renderer loads.
Hope this helps 