Infant Fee - AA Reward

Heading to USA 1st may, scored 3x business redemption seats across the pond with AA.

Called today to add my infant soon to the booking, and they compiled the taxes @ $1560 AUD.

When the fee should be set @ 10%, this is impossible to believe, but they checked and checked and wouldnt budge.

I guess i have no choice, but does this sound right, and, does anyone have any pro tips to try and shrink this?

The current return fare is about $8000 so would have expected $800ish.