I'm not sure I understand the bet. You win the bet if Buffalo and Dallas and New Orleans all make the postseason?
If so, you have to look at what happens long term.
In order for the Saints to make the playoffs, they have to defeat the Falcons, and the Bucs have to lose to the Panthers.
(Actually, there are other ways for the Saints to make the playoffs. For example, they can win and the Packers lose or tie plus the Seahawks lose or tie. However, we can ignore these other ways for the moment.)
The Saints are favored by about 4. This corresponds to a winning percentage of about 63%.
https://wizardofodds.com/games/sports-betting/nfl/
The Panthers are underdogs by about 5 points. This corresponds to a winning percentage of about 25%.
The chances of both events happening are the probability of the two individual events.
.63 x .25 is roughly 16%.
16% of the time you will win $1,596, for a total of $25,536.
84% of the time you will lose $11, for a total loss of -$924.
Your net for these 100 events is $26,460. This $26,460 is what you can expect if you let the bet stand, and played it out 100 times. (Naturally, you can adjust the winning percentages a tiny bit, if you don't feel they are accurate.)
OR, it appears you can take the $156 buyout offer right now, for a total of $15,600. $156 x 100 = $15,600)
This is what you can expect if you take the buyout, all 100 times.
As you can see, the buyout offered to you is far short of what you would receive long term.
Many posters here, like the1toturn2, will tell you to take the "guaranteed" money. Taking "guaranteed money" is not always a smart move and I can prove it with very simple examples. You have to think long term.
(My apologies if my paragraphs are lost when I post this. I still am having a formatting problem when posting.)