Came across an interesting synergy between the teleportarium and intimidation. Which card would resolve first? I played it out in my favor where the GS were mixed back into the smallest blip pile then the resolution of the control panel and teleportarium got rid of both blip piles.

Which would the correct method be? Resolve the intimidation first of the activate on control panel/teleportarium?

With Move + Activate, you first do the normal three things:

#1: Move

#2: Change Facing

#3: Activate Terrain

Intimidate says "after resolving the card's action", so after you do 1-3, you'd roll to shuffle back. However, I think the point is moot as activating Control Panel at Teleportarium clears the blip piles, shuffling back GS to one empty blip piles still leaves the other empty and travel is still triggered (clearing the other blip pile that you just shuffled GS into).