lol i see...makes perfect sense, just always keep a keen eye on them
and you may want to get a crate for the bulldog in times of doubt.
also never leave them alone together unsupervised, as well as food
and toy play can spark aggression, which in your case could be deadly.
routine, then more routine and you should live incident free.
just always keep in the back of your head to never let down your guard
and assume anything,...it happens that fast.