I've never had Muscovy ducks, but I've read many times on this forum that they go broody a LOT easier and with less eggs than mallard derived breeds.
My own ducks don't go broody until they get 8+ eggs in a nest. I pick up eggs daily because I don't want them to be broody.
@SolarDuck has muscovies that go broody so he can give his personal experience with that.
Are you wanting her to stop laying eggs? Doing so by having her go broody isn't the best way, in my opinion. You could give her a clutch of dummy eggs, but then she might feel sad when nothing hatches. Plus she would miss out on nutrition sitting on the eggs for a month.
When one of my ducks was having life threatening reproductive issues my vet had me shorten the length of her daylight. It worked and she stopped laying eggs because it tricked her body into thinking it was winter, but I wouldn't do that unless it was truly necessary and your vet recommended it. We also did regular testing.