I wish they would have shown her seeing Barry, Oliver, and Supergirl arriving on the rooftop at the end of the episode.
But it makes sense why she went the wig route especially not wanting old enemies to try and lure Batman out when he wasn't coming back.
I did like this episode more than the previous two.
The mother def is shady... She hid the cards that Alice left. Did Alice not see the search map before?