The situation behind this case is not complicated.
A year ago in that operation, John King, for the sake of money, sent soldiers into hell, but Jacques was lucky enough to survive.
After the post-operation investigation, the CIA hierarchy was aware of John King's corruption leading to the mission's failure.
While contemplating how to deal with John King, the CIA accidentally learned from the NSA that Jacques was still alive.
Thus, within the CIA, the faction led by Lady Heloise planned to take the opportunity to let Jacques exact revenge and kill John King, after which they would then deal with Jacques themselves.
This way, they could erase the scandal of CIA officials profiting off the lives of foot soldiers, while also striking a blow to the internal power supporting John King and seizing benefits and leverage.