AA lists the jfk-zrh (flt. 64), as arriving at an A gate--which is never the case. This flight is immediately turned around as flt. 65, and this flt. leaves from an E gate.
Re lounge access, the Dnata lounge is the only "official" AA lounge. [This lounge is before departing pax passport controls.]
If you have Priority Pass, there are lots of other lounges, the most convenient is the Panorama Lounge, located a short distance from the E gate, AA will use for departures. [This lounge is after departing pp controls.]