Ah yeah, as much as it's fun to play bitcoin games, I wouldn't recommend playing them to 'earn' money.
many methods of getting bitcoin for free like using the game. I do not think this problem has two objectives to have fun and earn money from playing games?
yes, having fun while earning, but for sure you gonna make just minimal amount of satoshi, example in faucet its hard to look for faucet that gives 1000k. Free bitcoins are always less in volume

in fact faucet is not such a good way of making money. i think one can get a good amount of money from trading and if you do not have some money to invest for trading then you can join a signature campaign and from there you can get some free bitcoin.
Well faucet is only free from what you named, trading and signature. Trading requires starting capital, some knowledge, time and luck. Signature is not also free money, it takes time and effort also. So faucet is cheapest, considering it takes only your time. Not to be smartass, I know faucet is micro earning, except if you're lucky enough to win bigger prize. I do it for fun, and maybe out of habit, its how I started with bitcoin, and all crypto.