Thanks to all for the support. Yesterday, I downloaded Big Sur, installed it on my macbook pro without any problems, so installer is good. I switch my Catalina install from clover to Opencore, and system is running very good with opencore. Tried to update from Big Sur app, and also tried from usb stick, and I get the same no matter what I try. After first reboot of a normal process, I pick macOS Installer, I get to the apple screen after what seems normal verbose, 5-10 seconds after that the machine simply reboots again, I keep choosing macOS Install partition, and it just keeps doing the same, nothing different, exactly the same verbose and behavior every single time; I have rebooted 5-6 times at least. Any suggestions are welcome. I am running a Haswell system. I attach video, pics, and efi (sorry for video lenth). I made a new thread with this topic, sorry for repeating.
Update: I think I didn't disable SIP in opencore config. I think that maybe it. I'll update later.