How to get user meta fields that have just been updated?

For anyone else with this issue, the fix was simple. I changed the hook and most importantly, I changed the priority so my action comes later. Default wordpress priority was 10, so I set priority to 11 and it works.

add_action( 'profile_update', 'BB_WP_SYNC_update_BB_profile', 11, 2);

And my function changed due to the different hook:

function BB_WP_SYNC_update_BB_profile( $user_id, $old_user_data ) {