Resolve this phase according to the core rules, with the following modifications and additions.
While you reset your Tactics marker to the step determined by your Captain’s rank as usual, the Corrupted Crew’s Tactics marker doesn’t get reset, and they don’t gain the rewards from resetting like you do.
When placing Voidborn ships according to the face-up Scanner card (as normal), you may remove up to 3 Voidborn ships of your choice from anywhere on the main board, without gaining any Tactics for them.
Note: At Setup you are instructed to remove Voidborn ships from strictly different sectors, but here you may remove them from the same sector as well.
At the end of the Hyperjump phase reveal a card from the Corrupted House deck and the Corrupted Crew advances on the corresponding Influence track.
If they would gain Influence when their marker is on Step 8 of a track, then place the revealed Corrupted House card next to the Influence board. It will be added to their total Influence during Final Scoring.