A quality apology consists of 3 things:

• An explanation of what you did that was wrong, and why it was wrong
• An explanation of what you’re going to try and change about yourself, to avoid the same mistake
• An expression of remose. I.E. the word “sorry” or “apologize”.

Your proposed apology has all those elements, so you’re already ahead of most folks. But there are a few suggestions for improvement in this thread that I think are also good.

“if you felt so, I apologize”: I don’t read this as you apologizing for how the other person feels, since you clarified that earlier. But I think it’s fair that others might read it that way, so you’re better off eliminating the ambiguity. You’re apologizing for what you did, without considering that others might (validly) consider it inappropriate.

“I’ll try to control myself around you”: similar deal, it should be clear that this is about you, not them. And when it comes to swearing in a workplace, it’s pretty-darn common to consider it inappropriate and unprofessional, no matter who you’re around. Maybe part of your apology needs to focus on how the behavior is unprofessional, and you simply needed help recognizing that, as you’re (possibly?) new to the professional working world.