Would it help for Bitcoin network if i run 1 Bitcoin Miner?
I am thinking about supporting bitcoin network.
If you like to support bitcoin you rather run bitcoin node than a miner.

There are enough miners to keep bitcoin network/transactions running.
Yep the better support for bitcoin is to run a little full node in youre home instead of a miner.
Some little peace of hardware like a raspberry py or similiar is good enough.
But it also depends on the electricity costs in your country!