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I have crooked teeth (wouldn't agree to braces because the dentist wanted me to quit trumpet for a year or two) and have been playing for 40 years. If anything could have gone wrong, it would have and hasn't.
If your present mouthpiece is working, don't change it! Keep working on your breath support, lip flexibilities and range to keep your embouchure in shape and you will be fine!

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Whenever I feel blue, I start breathing again.