An army with the Priority Assets Force Disposition facing one with Reconnaissance is dealt Vanguard Operation as its primary mission.
The opposing army is not playing the same mission: it is dealt Search and Scour. Reading only your own card is how a game gets lost from in front.
Priority-Assets against Reconnaissance. The Vanguard Operation action (Shooting phase; a friendly unit within one terrain area inside the opponent's territory; once per turn; completes at end of turn if no enemy units are within that terrain area) pays at end of turn, alongside a smaller payout for destroying any enemy unit. From the second battle round, non-home control pays at the end of your Command phase. End of battle pays a large bonus for holding the opponent's home objective.
Primary scoring is capped at 15 victory points in a battle round and 45 across the game.