Can I cut'n'paste audio like text -- so it doesn't overlay?

I have a very simple need but I haven't found a simple fix.

Say I want to move a piece of audio from one part of a track to another. How can I do this? I can't find how to do a cut and paste in the sense we do it with text.

What happens is I can copy a piece of audio then insert it elsewhere but it lays on top of or overlays what was there. It doesn't bump everything else forward.

I edit my audio a lot. I also want to easily move it around. I assume this is what Audition is designed to do.

So I'll have a track made up of many clips. I can do what I require but my way seems incorrect and a kludge. There must be a correct, quick, better way.

What I do is split a clip where I want to insert new audio then I select everything forward from there. Then I manually move/drag all those clips forward about as far as I think my new clip will require. Then I paste in the new clip. Then I adjust the whole chunk of forward-selected clips as needed to butt up correctly against the last part of the new clip.

This is dumb. It seems bad. Takes a lot of time. There must be a better way.

...Like we do with text. Cut and paste. When we paste text it just inserts the new text between the old text. Duh. If we want new text to REPLACE old text we select the old text then paste. If we paste at an insertion point it only inserts the text. Doesn't replace or overlap or anything crazy. I want Audition to do that.

I read about something called "Mix Paste" which SEEMS like a terrible idea but also is described in a way that sounds like what I need. However, it is a greyed-out non-option after you copy some audio.

I'm hoping this is really easy and obvious. Thanks for the help!