Interesting reading. I wonder how miners get better at finding the nonce. It’s like reading about DNA (the blocks) RNA (the hashes), proofs, nonces.. I must be going batty.. or it’s my training.
They don't, it is pure brute force. Every "miner" competes for a limited number of "bitcoins" allowed to be released over a given time. That release is controlled by a adjustable mining difficulty level.