Sorry, this cant be the game. Your console turns OFF and you cant turn it back on unless you plug the power cord? Then the console has a hardware fault. Usually since behaviour i known from the power supply (inside the device/PS), because its a fuse that resets only after power unplug.
Contact Sony or your seller for support / guarantee.

I know a friend with PS5 playing since Early Access DT without any crash. (100+ hours since then)