According to the wiki, the answer should be a NO.
But I want to check again. Do I have any lounge access at JFK?
Routing: JFK-MIA in First on a 77E (night stopover) MIA-CDG on a 77E
Everything is on one ticket. In the online booking dialogue on AA.com the JFK-MIA flight is marked as "Flagship First". On the ticket the travel class is just described as First.