Anderson .Paak's wasting no time getting back in the dating game ... days after officially pulling the plug on his marriage, he's hitting the beach in Mexico with a new songbird.

The Silk Sonic scribe was spotted in Puerto Vallarta Sunday with Dutch singer Sterre Marith Tapilatu, and they're clearly a couple ... holding hands during a romantic walk at sunset.

The breathtaking scenery makes it seem as if they're in a music video for one of his R&B classics -- cue up "Leave the Door Open."

It's unclear when AP and Sterre first got together, but their public coming out as a couple happened just days after the Grammy winner filed to end his 13-year marriage to singer Jae Lin.

TMZ broke the story, in his divorce docs, Anderson is seeking joint custody of the 2 kids he and Jae Lin have together, and wants to divvy up their assets equally.

AP won't be schmoozing on vacay too long, though -- his Apple Music 1 podcast "Paak House Radio" just launched its 2nd season. Seems like he might have more than music to discuss ... if he chooses.