You can try to check the dom0 logs using journalctl command to see the reason for the reboot after you start the template.
You can also try to install the Qubes OS with latest kernel, maybe there are some bugs for you hardware drivers in the stable kernel that are fixed in the latest kernel.
There is a separate option in the Qubes OS installer menu to use the latest kernel.
Well, I downloaded a new version, checked it, installed it, and chose the latest version of the kernel
The result: nothing changed
But while installing Fedora and whonix, when the installation is finished, it suddenly reboots. I am sure this is the reason, but I do not know why this thing happens.
These are pictures of the output you requested
Can you search through the log using PgUp/PgDown Up/Down keys the point in time where the PC rebooted during Fedora and Whonix installation and make a pictures of the messages before the reboot?
The log was saved to the file journalctl.log in your home directory.
/home/test/journalctl.log
Do you have some other system installed on this laptop to copy this file there? Or you can use some Live OS to copy this file to USB drive and move it to another PC.
I’m not sure that your USB drives will be accessible from dom0 by default so you’d have to use another system for this.