What is it in your first sentence? For just “muse”? Or muse something something? As in is the problem that just “muse” is trademarked in each business category. Or that “muse” is trademarked once with some software and so it can never be used again since there’s prior art? Is audio software and a note taking app in the same business category?
Muse Something Something = ok. Just muse? There’s prior art and proof of it.