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Rihanna & A$AP Rocky Date Night in NYC ... What Shooting Lawsuit???

If A$AP Rocky and Rihanna were at all concerned about his current legal battle, they certainly didn't show it during date night in NYC.

The new parents hit Emilio's Ballato Thursday, looking cool and casual. A$AP had what appeared to be a joint in his mouth, clutching a bottle of his Mercer & Prince booze.

RiRi showed off her legs with a black dress, white shirt, heels and sunglasses.

The outing comes on the heels of legal troubles for A$AP. As we reported, the "Fashion Killa" rapper is being sued for assault and battery by Terell Ephron AKA A$AP Relli ... over the alleged shooting that led to his arrest back in April.

Relli claims Rocky set up a meeting in Hollywood and pulled out a gun during the November confrontation ... firing multiple shots. Relli says he was hit by bullet fragments.

Rocky's camp has not yet commented on the lawsuit, but A$AP certainly doesn't appear to be sweating anything.

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