My fiancee and I are unmarried and filing separately. Can each of us contribute 5k (10k total) for dependent care FSA or 5k total for household?

My fiancee and I are not married, living together, and filing separately. We had a baby this year and each of us are contributing to a daycare FSA on our own. The rules make is clear if we're single parents or married, but it's not clear in our situation.

Since we're filing separately and not married, can we each contribute 5k (10k total) to our daycare FSAs or are we still limited to the 2.5k each (5k total) as a household?