There is no concept of mining plan and expiration. it's not like virtual mining as back in 2018 when I was new to BTC and crypto industry I was a newbie and I did joined some plans and they had expiration dates like for 1 year or 10 years although I joined free ones and they had their own cons but this side of crypto was totally useless, as I gained nothing it was a total waste of money and resources.

So, to mine BTC, you need hardware equipment and you have to join some pool because solo mining is hard if you have fewer resources. Now there are some sites that can help you to calculate how much power you can get from which machine and in how much time you can recover your investments on the setup, plus you have to calculate the cost of electricity correctly. (calculator)

This site can help you, otherwise, many members have provided good resources. This is a good initiative don't lose hope give it a try but do your research as well before NFA.