By re-signing Joe Tippmann, the Jets completed the edges and corners of their puzzle for at least the next two years.

All that’s missing now is the huge piece in the middle to connect it all.

Tippmann, who began his career as a center and moved to right guard last season, agreed to a four-year, $66.4 million extension that includes $31 million in new guaranteed money, a source told The Post’s Brian Costello.

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The contract is a tack-on to the one year remaining on Tippmann’s rookie contract, meaning he is under team control through his age-29 season in 2030.

Tippmann, 25, becomes the NFL’s 15th-highest-paid guard on annual average, according to Spotrac.

He is one spot ahead of the Browns’ Zion Johnson, who was the highest-paid guard to change teams during free agency this offseason.

All of Tippmann’s guaranteed money is front-loaded into the first two years of the contract, a source said.

The Jets now have 10 of the 11 members of their starting offense under contract through 2027, including the entire offensive line with three homegrown draft picks, running back and any combination of four pass catchers from their top five receivers and tight ends.

Of course, the missing piece is quarterback, where 35-year-old journeyman Geno Smith will start this season.

Rookie fourth-round pick Cade Klubnik is vying to be Smith’s backup as the developmental flavor of the year.

But the Jets’ grand plan figures to be drafting a franchise quarterback in 2027 and adding him to a nucleus in its prime that should make for a smoother transition and quicker success.

If the development of others continues, it should be the kind of supporting cast that was missing when Sam Darnold and Zach Wilson were drafted in 2018 and 2021, respectively.

It’s a strong deal for Tippmann, who elected not to play out his walk year and test the 2027 free agent market despite a clean health record (50 of 51 career games played, including 48 starts).

He has become a well-respected locker room voice during difficult times since he was a second-round pick in 2023.

The Wisconsin product’s versatility allowed the Jets to avoid scrambling last season by moving Tippmann to guard and sliding in Josh Myers at center when projected starter Alijah Vera-Tucker suffered a season-ending injury.

Vera-Tucker left for the Patriots in March, and the Jets retained Myers on a two-year, $11 million contract.

General manager Darren Mougey has made it a focus to re-sign homegrown players.

The list includes the since-traded Sauce Gardner, Garrett Wilson, Jeremy Ruckert and most recently Breece Hall, who was franchise tagged before inking a three-year, $42.5 million extension.