Noobie can't get 3 cubes to merge edges

Learning blender noobie here, can’t seem to get a simple merge of my three cubes for my logo. I can do it in illustrator :wink: but no tutorials found over a day now.
4.3 blender

Blender FILE:

VIDEO of ISSUE:

Hey Boxels, welcome here

To make it short, yeah dont do it like that. That are overlapping faces you have there. You never want to have a face (triangle, quad, whatever) be coplanar to and overlap other faces. Even if you join your mesh they dont really become one.
I think its a good idea to start with watching some videos about modeling basics over on youtube.

Anyway I’ll add a simple way to do it with 2 simple cubes and boolean modifiers you can cut intersect and merge separate meshes with them.

I hope it helps.

I was completely overthinking it, thank you! I watched something like that a month ago and got lost in learning stuff I really didn’t need to come back to basics. Thank you for taking your time on that! Appreciated!