Brain's Disguises: a lady, a potted plant and peddler
Though Gadget bought his new trenchcoat from a "civilian", it was still able to inflate upon command.
Early in the episode, the hotel that Gadget, Penny and Brain are standing in front of is the Hotel des blaireux, which translates to "The Badgers Hotel".
Gadget: (after his coat is ruined for the fourth time, this time by a poodle) Maybe I should start wearing a cape.
Gadget: Excuse me, Mr. LaPoof. When do you think I might be able to stop by your store again to have my coat tailored?
LaPoof: Perhaps 20 years?!
Arresting Policeman: Make that 30!