The computation has nothing to do with minting. The computation allows every Bitcoin user to “vote” on the correct sequence of transactions in the last block, a

The computation has nothing to do with minting. The computation allows every Bitcoin user to “vote” on the correct sequence of transactions in the last block, and the reward for solving a block is just to make sure that people keep hashing. You can’t have a blockchain without a large number of people doing some kind of easily verifiable computation.