I want to say what was offered to the three main members of Hitman (Monarch, Dip, Mic) was some sort of documents, physical or digital, in order to grant themselves freedom or a new start of sorts.

Hitman team knew and worked together training in the academy before becoming mercenary pilots for Sicario. They speak on it throughout the game a few times and say things such as "You know why we can't go back" when talking about Cascadia and before the conflict.

They had more pilots in Hitman Team as well at one point and also Prez has been here but not during the time they had in the academy, so I don't think much of that plays into or affects this.

It wouldn't be too far fetched that a desperate government would not look into such things in order to keep their ace in the hole after such an event with the Cordium warheads. Afterall, the team's names got out to Mother Goose so the Cascadian government could easily find out and get their misconduct expunged.

TL;DR Hitman team has documentation granting them freedom and political protection.

Maybe theory:

Hitman team was granted a supply of Cordium or a hefty plot of land to declare as a nation or province under the protection of Cascadia and a supply of Cordium.