Child and Dependent Care credit section in Turbo tax

My spouse and I file  as 'married filing separately' status. Each of us contributed $2500 to two separate dependent care FSA accounts in 2023. We have 1 child together. My spouse claimed the child as dependent on her tax return. Now I am filing my tax return , is my understanding correct that I cannot claim the child as dependent on my return, so I shouldn't fill in child and dependent care credit section in Turbotax, in another word, there will be no form 2441('Child and Dependent Care Expenses') OR  schedule 8812('Credits for Qualifying Children and Other Dependents’) attached to my tax return?

 

Thanks.