Everything was working fine until somehow one of the entries ended up/somehow getting a NULL/empty record into the identify column.
Error Publishing
Details:
Original data contains rows without identity. Identity fields: AAD user object ID

I only have 1 row remaining in the table now because I tried to remove all records and start over. I did that with this command in a PowerApp.
RemoveIf('Application user', true)
That command removed all rows but the one NULL/empty row.
If there is another method to truncate a table, or remove all rows, I would use that and start over.
I have no idea why one record ended up with the NULL/empty row. I had created several already before that happened.

Here is the error message from within PowerApps