Megan Thee Stallion and Klay Thompson are going full send after taking their romance public ... hitting up an NYC hot spot for a date night -- and PDA was on the menu!!
The new power couple was spotted leaving the celeb-favorite Carbone in the Big Apple on Monday ... and it's safe to assume they knew the cameras would be waiting for them as they made their exit hand-in-hand.

Klay, 35, sported a white polo and some navy track pants for their public debut as an item .