We file MFS. I put $2500 in my dependent FSA. Can my wife put $2500 in her FSA too? Will I/we be able to claim the money as childcare credit on our taxes?

My wife and I do our taxes married filing separately (for student loan reasons). We have a daughter, and for the past two years, I have used the dependent FSA at my work, and put $2500 in it (since we are MFS). My wife just got a new job, and for the first time, also has an FSA. Can she also take $2500, or can only the parent claiming our daughter as a dependent do that? Will I (or we) be able to claim the money we put into the FSA(s) as a childcare credit on our taxes, or is this not allowed since we are not separated? I thought I understood this, but my online research has gotten me more and more confused