Among the number of Bosses you will have to battle with Mario and Cappy along the way is Madame Broode, a villain you will have to face twice during the Main Story: once at the very beginning of your journey and once near the very end of such. The battle with Madame Broode will be very similar from the first to the next, the key to victory lying solely with her Golden Chain Chomp Pet.
To defeat Madame Broode, you will first have to remove the hats off of her Golden Chain Chomp (while dodging its attacks) and then capture it, all with the help of Cappy. After doing this, Madame Broode will always try to attack on her own. However, each time she does will see her getting exhausted, thus leaving her open to be attacked by you as her own pet. Doing this process three times will see you victorious over Madame Broode.