The Grey-cloaked People need to urgently launch an ambush against the Cleaners.
After obtaining intelligence, laying a long-term plan to bait them is impossible, because once the Cleaners realize Yang Yi has defected, they'll inevitably switch their communication methods urgently and recall all potentially exposed personnel.
Another possibility is that the Cleaners have already suspected Yang Yi of betrayal, and they've modified their previous contact methods. In that case, even if Yang Yi betrays the Cleaners, the Grey-cloaked People won't gain any significant advantage.
Of course, there's also the issue of whether the Cleaners deliberately sacrificed Yang Yi to protect Gong Yang. If that's the case, Yang Yi's foundation for betrayal doesn't exist anymore. Any secret organization facing potential betrayal would first eliminate the threat. Even if they can't immediately kill Yang Yi, at the very least, they would take protective measures.
