1
If Windows 11 was pre-installed on the HP laptop, then there is an OEM licence stored on a chip on the motherboard, and that type of licence belongs to the device, not to the Microsoft account used when setting up the laptop, and any time you need to re-install Windows, it will activate automatically from the licence on the motherboard, regardless of the Microsoft account used.
2
Are you experiencing any problems logging into Windows on that device with your new Microsoft account?