It can be dispatched, and use Exhaust abilities, in the turn it came on board during a watch.
Jettison — deal 1 damage to any target.802.7
When a Recon puts this card into your scrapyard, you may use this. Not when it is scrapped, dug or destroyed. In the sortie phase it goes into the crossfire first, and it can't be used if the card has left your scrapyard by then (802.7). Choose a crew or a base on board, or either mothership, when it happens. It takes the damage, plating first for a crew; the damage stays, and a crew or base left with no hull is destroyed at once (705.7d).