FAFO. Play hardball, expect the team to play hardball too.
First, we are at a different point than others.
This scenario presumes that the team can't reach a deal now AND that Gonzo fulfills his contract through 2027.
The issue is what happens when the two parties have completed their contractual responsibilities.
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The team could franchise Gonzo and be willing to have him play at the franchise tag amount. Gonzo would then have until July 15 to sign (no trades until then). And then, Gonzo can sign and report after Game 3 or 4 whenever seems convenient to him.
So, yeah, the team can play hardball and try to trade him after he signs in July, with the receiving team hoping that he shows up to play for them (I presume that he would with a no franchise clause). Of course, if Gonzo approves the team, the deal would be likely to happen).
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I AM NOT SURE
that an unhappy Gonzo would be worth a huge contract to the patriots. I suspect that he wouldn't even be worth the franchise amount if he doesn't report. But the team could get something in a trade if Gonzo cooperates.
My suspicion is that it is a really good deal to have Gonzo play 2026 and 2027 and then do a tag and trade to a team and deal that his agent finds. There need be no hard feelings. I would think that this would a very good deal for all if the team and Gonzo can't come to terms on a new contract.