Proof of work determines who can mint a block its not the nakamoto consensus algorithm bitcoin uses its just part of it. Proof of stake determines who can mint

Proof of work determines who can mint a block its not the nakamoto consensus algorithm bitcoin uses its just part of it. Proof of stake determines who can mint a block same as proof of work, the consensus algorithm is then one of many different algorithms people use for consensus. Talking about proof of stake/work as if its the sole consensus is like when people call the case of their computer the hard drive part. I mean it does have a hard drive sure but your not really getting it.