What do I do when filing if me and my fiance live together with my daughter and want to swap on who is claiming her with last years Child Tax Credit and Stimulus?

I am currently in a predicament, and I am unsure on what to do with claiming our daughter this year. Me and my fiance live in the same household and we're trying to get the correct/max amount we can receive on this years returns.  Me and my fiance were working on our taxes and needed some help regarding the Stimulus and Child Tax Credits that were sent out last year.

Last year in 2021, I claimed my daughter on my 2020 tax return. I received the $2800 stimulus payment and also received the $1500 early Child Tax credit from claiming her in 2021.
This year in 2022, my fiance would like to claim my daughter on her 2021 tax return.

The issue I am seeing, is that if she claims our daughter this year return, she received an additional $1400 Recovery Rebate Credit which I'm not sure is the correct process since I received this credit and we live in the same house hold.

I was wondering if anybody knew what the correct process for this would be or if this is correct?