You remove that part by deleting the codes of the form "" and "" leaving in place the stuff between them. (This is in the standard editor for Wikipedia; I'm not sure exactly how it looks in the Visual Editor, if you're using that.) But no, that wouldn't cause it to become part of the public part of the encyclopedia; to do that you would need to move the page from your user space to Infinity Cat Recordings (there should be a tab near the top of the page labeled "move"). I would recommend not performing such a move until you have addressed the concerns from the previous deletion discussion, because if you move it back into the encyclopedia in its current state it is likely to be quickly deleted again. —