Battle of Barrosa - Allied Playthrough: Turn Seven

Situation after turn six

My activation dice are 4 and two 2s. I reroll the 2s, getting 1 and 3.

In area 3 the one-strength infantry advance and fire at the French infantry. The two dice are increased for being on higher ground and for being next to General Graham, but decreased for moving and for firing at a target in cover. The two dice land 6 and 4, reducing the enemy unit to two-strength and forcing it back a hex. The three-strength infantry fire at the same target, their four dice being increased for being on higher ground and for being next to the commander. I roll three 6s, 4, 3 and 2, eliminating the enemy unit.

In area 4 the infantry advance obliquely left, the cavalry advance two hexes obliquely left, and General Graham advances one hex.

The only way I can see the Allies failing to win this if I forget to move a unit into the objective hex

The AI's activation dice are three 4s and 2. Two 4s are rerolled, but become 6 and another 4, meaning the French artillery cannot be activated.