An army with the Priority Assets Force Disposition facing one with Take and Hold is dealt Secure Asset as its primary mission.
The opposing army is not playing the same mission: it is dealt Inescapable Dominion. Reading only your own card is how a game gets lost from in front.
Priority-Assets against Take-and-Hold. The Secure Asset action (Shooting phase; a friendly unit within range of a non-home objective; once per turn; completes at end of turn if the unit controls that objective) secures the asset and pays at end of turn, alongside a payout for destroying enemy units that started the turn on central objectives. From the second battle round, the Command-phase check pays for non-home control and again for holding three or more objectives.
Primary scoring is capped at 15 victory points in a battle round and 45 across the game.