I do not see any problem in your dmesg log that I recognize. I am not a developer. The dmesg covers the boot process up to, but not including, when the system would start loading the graphical desktop. So unless I missed something a dev would see the boot process looks like it is working OK.
Why are the amd and rocm repos there? Those are not OpenMandriva repos. These:
Are not realated to OpenMandriva we can not do anything about that. I would disable those until I had my system sorted. There may be good reasons to have those, but simplify to solve the current problem.
This:
https://openmandriva.mirror.liteserver.nl
Is one mirror of a list of mirrors, If you are using the default OM repo setup then Mirrorbits is redirecting you to another mirror. That is demonstrated by this line:
Repositories loaded.
But there is a problem, a big one:
Failed to resolve the transaction:
Problem: The operation would result in removing the following protected packages: systemd
There is a fix for that here. systemd is the init system and it does affect the loading of the desktop so this may well be the problem, in any case this must be corrected before proceeding further in problem solving.