Not possible. Please see the following:
Short answer: they basically can't — not until 2028 at the earliest, and even then it's ugly. Here's the math, per OverTheCap's current breakdown of his 4-year, $240M deal:
The trap: Dallas already restructured him twice, pushing bonus money into void years (2029–2030). And his 2027 salary ($45M) already became fully guaranteed back in March 2026. His 2027 cap hit if they keep him is $76.0M.
Cut him next offseason (pre-June 1): ~$131.5M dead cap
That's $86.5M in accelerated prorated bonus (2027–2030, including the void years) plus the $45M guaranteed 2027 salary. It would cost nearly double his $76M cap hit to get rid of him. Nobody does this.
Trade him next offseason: ~$86.5M dead cap
Dallas eats all the remaining prorated bonus; the new team takes on the $45M + $55M base salaries. Still worse than keeping him — and he has a full no-trade clause, so he controls whether this even happens.
Post-June 1 cut: $76M in 2027 + $55.5M in 2028
Spreads the pain but saves nothing in 2027 versus just keeping him.
The real window is 2028 — and even that's ~$110M dead vs. an $86M cap hit to keep him, because his 2028 $55M salary converts from injury-guaranteed to fully guaranteed in March 2027.
Bottom line: the restructures turned Dak's deal into a cage. He's a Cowboy through at least 2027 no matter how he plays — which, given the current 90.1 rating at $60M APY, is exactly the problem.
The Jones family have wrecked this team in the short and long term.