It might not unless the definition is really stretched. It's not data collected about you. Otherwise every email some employee sends discussing this situation would also need to be included.
It's quite obviously personal data within the definitions used in GDPR. It's information that can be related to a natural person; those two criteria are the only criteria that must be satisfied for data to be regulated under the GDPR.
https://gdpr-info.eu/art-4-gdpr/
>Otherwise every email some employee sends discussing this situation would also need to be included.
Yep. If the contents of those emails can be related to a natural living person by any identifier (name, username, email address, account number etc) then it's personal data.
Take Facebook as an example, when you request your personal data, they present what is linked in their database to you, which is of course not where anyone mentions your name. Who is to say that my name (Paul Smith) identifies me and not some other Paul?
That is what they mean with "indirect identification" in the link provided by jdietrich.