John Mara’s wish list for Giants’ next head coach

The Giants’ coaching search isn’t shut off to college coaches, defensive gurus or analytical minds.

After neither Ben McAdoo nor Pat Shurmur made it to a third season, co-owner John Mara isn’t putting any restraints on his search for a fourth coach in six seasons dating to the end of the Tom Coughlin era.

“I’m really looking for leadership,” Mara said. “That’s the big thing going forward. Somebody who can come in and take control of this roster, help build a culture that is going to lead to winning. Somebody who is going to help us with our football re-organization during the process we’re undergoing right now.”

The Giants interviewed Steve Spagnuolo, Doug Marrone, Adam Gase, Mike Smith, Teryl Austin and Ben McAdoo in 2016, and Spagnuolo, Eric Studesville, Matt Patricia, Josh McDaniels, Steve Wilks and Shurmur in 2018. Only four were hired elsewhere: Wilks already was fired and Marrone, Gase and Patricia all were on the hot seat this season.

None of those coaches came out of the college ranks, but there is two-way interest with Baylor’s Matt Rhule. Michigan’s Jim Harbaugh and Stanford’s David Shaw also could emerge as candidates.

“We’ve failed twice in a row now, and you have to keep working at it, try to find the right guy,” Mara said. “I’m not convinced that either of the past two coaches couldn’t have been successful over a longer period of time, but there comes a point in time when your patience runs out, your gut tells you that you need to make a change.”

Sources indicated to The Post the Giants’ candidate pool might be narrowed by 68-year-old general manager Dave Gettleman’s retention. His anti-analytics rant before the 2018 NFL Draft raised eyebrows around the league.

At one point, it seemed Mara was looking into the camera and speaking directly to coaches.

“We’ve made a lot of turnover in our scouting area; we’ve completely changed our grading system in how we grade college players; we’re deeper into analytics and technology than we’ve ever been before,” Mara said.

“It’s not business as usual here at the Giants. We’ve made a lot of changes — changes that you don’t necessarily know about — and we felt like we needed to give it a chance to see if it’s going to succeed or not.”

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