You have satisfied the 5 year rule, you don't have to satisfy it for each separate account or contribution.
A conversion is not a contribution, no matter how much you convert in 2021, you could contribute up to $7000 of new funds (or up to your compensation from working, if less than $7000.)
But the conversion from traditional to Roth IRA will be a taxable event.
And beware the timing, it is very late in the year. If you request a contribution or conversion in 2021 but the custodian does not process it until 2022, it will count for 2022, not 2021. Make sure your custodian can execute the moves you are planning in the days remaining to the year.
What is the purpose of making a Roth IRA contribution in 2021 if you are planning to withdraw it in 2022. The withdrawal would be non-taxable but the contribution is not deductible, it sounds like a transaction with no purpose.
