Mets’ Joely Rodriguez signs free-agent deal with Red Sox

The first of the Mets’ free agents is officially headed elsewhere.

Lefty reliever Joely Rodriguez signed a one-year contract with the Red Sox on Tuesday, the team announced, with a club option for 2024. The deal includes $2 million in guaranteed money plus incentives, The Post’s Jon Heyman reported, along with a $4.25 million option for the second year.

The Mets were not necessarily expected to retain Rodriguez, but his departure only emphasizes the work they will have to do to rebuild their bullpen this offseason. Closer Edwin Diaz, who re-signed on a five-year, $102 million deal earlier this month, and Drew Smith are the only under-contract relievers certain to be in the Mets’ bullpen in 2023. Fellow relievers Adam Ottavino, Seth Lugo, Trevor May and Trevor Williams are all free agents.

Joely Rodriguez posted a 4.47 ERA with 57 strikeouts and 26 walks in 50 1/3 innings last season for the Mets.

Rodriguez, a lively presence in the clubhouse, landed in Queens in a spring training trade this year that sent reliever Miguel Castro to the Yankees. As the only full-time lefty in the bullpen, Rodriguez posted a 4.47 ERA with 57 strikeouts and 26 walks in 50 1/3 innings. The 31-year-old was removed from the Mets’ wild-card series roster after Game 1 with a shoulder injury.

Needing to bolster their pitching depth, the Mets on Tuesday announced they signed a pair of arms in left-hander Zach Muckenhirn and right-hander Denyi Reyes to minor league contracts with invitations to major league spring training.

The 27-year-old Muckenhirn is a reliever who spent 2022 at the White Sox’s Triple-A affiliate in Charlotte, posting a 3.11 ERA with 56 strikeouts and 23 walks in 55 innings. The former Orioles farmhand has yet to make his MLB debut.

Reyes, 26, made his big league debut this year with the Orioles, recording a 2.35 ERA in three games (one start) with three strikeouts and a walk in 7 2/3 innings. The former Red Sox prospect has a career 3.29 ERA across seven seasons in the minor leagues, making 84 starts and pitching in 129 games overall.