If a player calls in for reinforcements and assigns them to "reinforce" the AI commander, will that increase the overall amount of units/groups eligible to replenishing by BCR?

Example:

• At the beginning of the mission the AI commander has 100 groups. If 10 groups are killed, the AI commander calles for BCR and replaces those 10 destroyed groups with the new ones drawn from reinforcement pool.
• A player calls for reinforcements and reinforces the AI commander with additional 50 groups (drawn from the same reinforcement pool). The AI commander now has 150 groups under his command.
• Now 15 groups are destroyed, leaving the commander with 135 groups.

Question: Will the AI commander request a BCR for 15 groups or he will only do that once the number drops below the initial 100?