The absolute minimum Minnesota could offer Phoenix from a salary perspective would be...
MIN: Kevin Durant ($54,708,609)
OUT: Julius Randle ($30,935,520), Mike Conely ($11,990,000), Rob Dillingham ($6,576,120), Josh Minott ($2,187,451 TO), and #20 ($3,049,000) = $54,738,091
PICKS: #20, #32, 2026 FRP Swap (MIN/UTA), 2028 FRP Swap, 2029 FRP (6-30 Protected), 2030 FRP Swap (2nd of MIN/SAS/DAL), and 2032 FRP Swap, along with whatever miscellaneous seconds.
That clearly is not enough value wise for Kevin Durant, but pretending that it is for the sake of the salary discussion, Minnesota would be at $174,781,823 with Kevin Durant, Anthony Edwards, Rudy Gobert, Jaden McDaniels, Donte DiVincenzo, and Terrence Shannon Jr. Bring back Luka Garza and Leonard Miller puts Minnesota at $179,353,078 (it becomes $179,190,951 if you swap Luka Garza and Josh Minott in the trade, but we'll stick with the first number). I think Jaylen Clark's deal bumps it up to roughly $180.4MM, but the details aren't public yet.
Donte DiVincenzo /
Anthony Edwards / Jaylen Clark
Jaden McDaniels / Terrence Shannon Jr.
Kevin Durant / Leonard Miller
Rudy Gobert / Luka Garza
Minnesota would have roughly $27.5MM to (Second Apron is projected to be at $207,825,000) sign five more players. The taxpayer MLE is projected to be set at $5,685,000, which First Apron teams can use.
(Again, in reality Minnesota would likely have to find more value in the trade, but just breaking down the financial situation to provide context.)
If Naz picked up his deal and took the unlikely four year extension (or the less likely one year PO minor pay increase), it is completely doable to flesh out the last four roster slots on $12.5MM.
That said, I don't think that Naz Reid would consider that. He is (deservedly) going to want to be paid, which likely means that trading for Kevin Durant probably isn't in the cards (even from the most ridiculous underpay scenario), without also trading Donte DiVincenzo somewhere.
Donte DiVincenzo /
Anthony Edwards / Jaylen Clark
Jaden McDaniels / Terrence Shannon Jr.
Kevin Durant / Naz Reid / Leonard Miller
Rudy Gobert / Luka Garza
+Four low-salary players
The above is fun to think about, and is an absolute no-brainer if the teams could pull it off. It would be completely ridiculous not to do it, and I reject any suggestion that it would be the wrong move (and I like Nickeil Alexander-Walker!). Unfortunately, with Naz Reid needing to be paid and the limitations of the Second Apron, it just doesn't seem like it is in the cards while also keeping Jaden McDaniels and Rudy Gobert (alongside one of Donte DiVencenzo or Nickeil-Alexander Walker). One of those two (likely Rudy) would have to go, which changes the discussion completely.