As far as I can tell, the Big 12 Bowls/Payouts are as follows for 2025.

Guaranteed Rate Bowl
Kansas St. vs. Rutgers
Big 12 – Win
Payout - $1,625,560

Pop Tarts Bowl
Iowa St. vs. Miami
Big 12 – Win
Payout - $6,071,760

Frisco Bowl
West Virginia vs. Memphis
Big 12 – Loss
Payout - $650,000

Liberty Bowl
Texas Tech vs. Arkansas
Big 12 – Loss
Payout - $4,700,000

Alamo Bowl
BYU vs. Colorado
Big 12 – Win
Payout - $8,252,740

Sugar Bowl – 2 Round CFP
Arizona St. vs. Texas
$4,000,000 (minimum)

Total Payout - $25,300,060
Not sure how they pay that out to conference teams...but if they divided it evenly - $1,581,253 per team

Big 12 Wins - 4
Big 12 Losses - 2