Thank you for the helpful information! I ended up doing the following:
I went in our company's server and found a random acaddoc.lsp file,
copied this file over to my local C: drive,
opened the new copied file in Notepad, cleared out everything in it,
and in this new file I added:
(command "undefine" "u")
and added a return after that line, and saved this new file.
Then I opened up AutoCAD, went to Options > Files > Support File Search Path , and at the very bottom of the Support File Search Path, I added the new folder on my hard drive (which contains the new acaddoc.lsp file) to the Support File Search Path.
It seems confirmed that my AutoCAD setup did not reference to any acaddoc.lsp file prior to this, because, after I added the new folder to the bottom of the Support File Search Path, when I opened AutoCAD after doing this, AutoCAD was directed to my new acaddoc.lsp file. I typed "U" in the command line in AutoCAD and it successfully did "UNGROUP". I didn't have to re-assign anything to "UNGROUP" in the lisp file because "U" is already assigned to "UNGROUP" in ALIASEDIT (not by default, but changed by me previously) and evidently that seems to stay the same even after closing and opening AutoCAD.
I did run into one last road bump though, which was that, now, the "Ctrl+Z" command now was mapped to UNGROUP instead of undo. However, I fixed this as well. I went to the ribbon in the top, went to Manage > User Interface (CUI). Then went to Keyboard Shortcuts > Shortcut Keys > Undo.
I then found that under "Command Display Name" it said "U". I changed this to "UNDO". (I should point out that by this time I had already "REDEFINE"d the full-word UNDO command prior to this).
And under "Macro" it said "_u". After playing around with it I found that changing it to "_undo 1" got it to do what I wanted it to do, which was to UNDO one command.
So now, "U" is set to "UNGROUP", and "Ctrl+Z" is set to UNDO one command which is effectively the same as what it did before. I have tested this by closing and re-opening AutoCAD multiple times and opening multiple files, and everything is working properly.
Got it to do what I wanted to do.
Thanks for the help.
(Also, I have read, after the fact, that finding an existing acaddoc.lsp file wasn't necessary - that I could just create a new file in Notepad and save it as a .lsp file instead of a .txt file, and name it acaddoc.lsp. I haven't confirmed this but this is what I have heard).