MacBook Pro macOS Upgrade Support

I’m still on macOS Monterey 12.3.1 on a mid-2015 MacBook Pro and need it brought up to macOS 13 or any newer, supported release. I’m flexible on the exact version—as long as the machine stays fully functional—but it must be a clean, reliable install that Apple still signs and updates... (Budget: $30 - $250 USD, Jobs: Cocoa, Computer Repair, iPhone, Mac OS, Objective C, System Administration, Technical Support, Troubleshooting)