If you had AAKK2, you'd still lose to 222 or 22249, it wouldn't make a difference.
It's the exact same system we used for the last round. Someone with 222 could have beat someone with AAKKQQJ9876432.
This is always going to be ranked on a 5 card poker hand (not 3-card poker where 567 is a straight or three of a suit is a flush).