Reset is not possible

They run it back next year. Jordan, Davis, Mathieu and Taysom all have one more year on their deal and go void in 2026. 2026 will be the year of catching up and an empty roster. Some of those above will get restructured (into void years) to make the cap. Just a move for the books. No one is worth cutting or trading cap-wise (except Ramczyk). You save like a mil tops. If you look at the situation its pretty clear what happens:

Cut/Retire Ramczyk (~6mil)
Restructure Carr (~30mil)
Restructure McCoy (~6.5 mil)
Restructure Granderson (~5 mil)
Restructure Ruiz (~6mil)
Restructure some combination of Jordan, Davis, Mathieu or Taysom to clear ~10mil+ cap. All expiring contracts with void years.

They could cut guys like Saunders, Williams or Moreau but that would just be to move on. The cap savings are insignificant (~1mil net) and they are the biggest cut savings on the roster. (A cut player is still a roster spot that must be filled with min salary)

There aren't any alternates other than asking guys to take pay cuts or asking other teams to absorb money in trades, which are generally long shots.

So yeah, no matter who the coach is, Carr will be the QB and the roster will be similar. If they draft well and stay healthy they can be competitive. That just hasn't happened for 3 years straight. Injuries plague this roster. Unfortunately, the young core is who can't stay healthy. In 2026 the older players all void, lots of dead money and you're looking at the real reset year.

So any coach coming in will probably need two years of grace just to get a footing.