Free mining can sometimes also be a scam in the end so this should also be considered very well by those who want to use their time for mining, because there is no guarantee on any site to keep getting paid when it has been mined for a long time, so mining is not forever free it can pay everyone now.
"Free" anything could turn out to be a scam. I would suggest highly not to go with free anything because if someone is claiming to be free, more often than not they are not free at all. Mining doge could be profitable, you need to check that on mining calculators and if you have a GPU or a rig, then you need to put that in and calculate which coin you should mine. There are a million websites like that which would tell you.
But, I got out of that game long time ago, using that money to buy tokens and staking them is a lot simpler than mining. Sometimes it is even more profitable, but usually it is not. The difference is that there is no risk involved, mining could be a big loss if you face a ton of problems, whereas staking is just staking.