Let me be clear I'm not advocating the below is the way to go. Frankly I haven't processed things enough in my head to figure out the "best" path forward if I was running things. Certainly it would be to shed salaries and accumulate draft picks as many of us believe in -- but as to the exact "how" well I'm not there yet.
But if you really, truly wanted to "start" next year and being to "blow it all up" and it's fairly straight-forward numbers wise (#s are rounded):
*Cut/Trade Kamara: Cap Savings of $19M
*Cut Ramczyk: $6M
*Cut Moreau: $2M
*Cut Saunders: $2M
*Cut JT Gray: $2M
...
*Cut Carr Post 6/1: $30M
*Cut/Trade Lattimore Post: 6/1: $18M
Those moves get you compliant for 2025 ($79M needed). Now, obviously you push about $46M with Carr and Lattimore into 2026. Not exactly ideal. But certainly doable, especially if you go with young picks and cheaper deals.
There's also some alternate variations of this. You keep Lattimore but designate Taysom as a Post June 1 cut and cut some other guys that are $1M each (Ridgeway, Wilson, etc).
Again, not advocating this...but showing how it can be done without restructures and using cuts/trades only.
Edit to add: I think you also have to let guys walk. Not many guys in the 2025 cycle will get much, but a few could garner mid-to-very low compensatory picks. Even with the injury, Adebo would probably be the guy to get you a possible 4th/5th round compensatory pick if anyone is willing to trust his health. I'd honestly prefer he walk than pay him, especially to get out of cap hell. Beyond that maybe Willie Gay gets something back and maybe someone overpays for a shot at a guy like Payton Turner or one of the backup OL that can stay healthy. But it's minimal.
Of course we know this isn't how it will go. Just spit-balling what could happen.