Can horizontal wrinkles on the bridge of the nose be smoothed out with Botox?

Perhaps because of my habit of frowning, I have horizontal wrinkles on the bridge of my nose. Since these wrinkles are the result of a long-standing habit, fine lines actually started forming on the bridge of my nose around my early to mid-30s. I was too busy with life to pay attention to them, but at some point, I noticed the wrinkles had become this deep. Because these wrinkles appear when I frown, my overall impression looks harsher, and I look at least 10 years older. Can these be smoothed out with Botox? I've heard that Botox isn't effective if the wrinkles are too deep, so should I try a different method? In my case, the wrinkles are present even when I have a neutral expression, so I'm wondering if Botox can actually smooth them out. If these wrinkles cannot be alleviated with Botox, please let me know what other procedures would be effective and provide the types and methods.