Again, that's not normally how dead cap works.
When you cut (or otherwise part with a player, such as a trade) you take the remaining, already spent cap hits immediately. The exception to this is post June 1st situations, where the team may spread the cap hit out over the current and next year.
Assuming we cannot come to an understanding or restructure, he'll be released by March 2027--because at that time, part of of his 2028 base salary becomes guaranteed. If he is released at that time, his dead cap is 17.6m. Not a small amount of money, but only half what we absorbed with Clark's departure.
It also isn't a given that he doesn't play at all in 2028. If the cap balloons, he might be a bargain by then, though that is speculation. And if he's a bargain in 2028, he'll likely be a bargain in 2029, when his cap number is slightly smaller.
If the right play is extending him, you could give him more or less the same contract that he just received. 3 years, 44m signing bonus, and lets say 3m per year in salary. That'd be 17.7m (roughly) in yearly cap. Assuming the existing, proposed dead cap (17.6m) is spread over those 3 years, that'd bring up the total to 23.6m. That's less his 2027 number (26.8m).
I don't know if he'd accept that number or not. He'd be 29 almost 30, so he might be falling off. He might still be going gangbusters. It's hard to say.