X Button pressing randomly on Xbox One controller

I forgot to mention that I have Jump on my A button, so you might say I’m pressing X on accident when I jump, but I recorded my controller many times and whenever this happens I am not pressing X.

I don't get the same problem as you but kind of similar. My Xbox one X turns itself on randomly and also suggest stopped doing anything when the A button is pressed on the home screens. It recognizes that you pressed the button, it just doesn't do anything.
If you hold the button down it might recognize it eventually. It does this with every controller I have so it's not the controllers.

I recommend cleaning your controller. Dirt and gunk can build up. You can use toothpicks to clean around the buttons. You can also use mild, disinfecting wipes to give it a general surface clean.

Then if it is brand new I would recommend have a word with the place you got it from as it could be a fault with the pad and if you have only have it a couple of weeks then you should have problem returning it.

The console is brand new, only a few hours of play. Got it a few weeks ago in December. Though did thouroughly clean it with a towel making sure not to make it worse. LOL. It's brand new!