Gmail personal email shows as “work” account
Not sure if this helps. Possibly only to expand on your question as opposed to answer it directly.
I have 4 email addresses
I have a work profile with 1 gmail email and it is a parallel gmail app. In my personal gmail app (below) i see my 2 personal gmail emails (blacked out) and the only hint of the work one is the link in red.

Of interest to you is my fourth, Microsoft outlook email account with msn.com. For no logical reason under accounts one entry has it labeled as a work account.

If this is what you see then i believe you have nothing to fear, it is out of reach of my employer. This might not be what you see. I am very unsure why mine has a work label.
When you say

my gmail.com account as a “work account&quot;

Do you mean it is a personal one?