There are four project managers $($Jennifer$,$ Adam, Ben, and Julie$)$ and $6$ consultants $($Max$,$ Sarah, John, James, Brooke and Claire$).$ Four teams of three must be created for an upcoming project. Assignment to teams must follow the following conditions:

$$ Each team must have one project manager and two consultants.

$$ Each project manager can only be assigned to one team but consultants can be on multiple teams.

$$ Brooke cannot be on the same team as Claire nor James.

$$ Max cannot be on the same team as Julie, James, nor John.

$$ Adam must be on the same team as Sarah or Max.

$$ James and Jennifer must be on the same team.

If one of the teams is Adam, Sarah, and Brooke, then Max must be assigned to a team with: