Baty attended Lake Travis High School in Austin, Texas, where he played basketball, baseball, and football.

[19] Following injuries to Eduardo Escobar and Luis Guillorme, Baty was called up to the major leagues on August 17, 2022.

Baty ended up going 1-for-4 with two RBIs, including a 113 mph groundout that was the hardest hit ball by a Mets left-handed hitter off a lefty pitcher since 2016.

[22] On August 31, Baty underwent surgery to repair a torn ligament in his thumb and missed the remainder of the season.

On April 27, during a game against the Washington Nationals, Baty went 3–for–3 with two singles, a walk, 3 RBI, and a home run, a 400-foot solo-shot to center.

[25] On May 3, 2024, Baty hit two home runs in a loss against the Tampa Bay Rays, marking the first multi-homer game of his career.