Hi Richard! Thanks for the follow-up details.
Since you're using a Gmail account in legacy Outlook on Mac, the birthday events are actually being synced from your Google contacts, not created by Outlook itself.
Go to calendar.google.com in your web browser and look for "Birthdays" under "Other calendars" on the left sidebar. Simply uncheck the box next to "Birthdays" to hide these events, or click the three dots next to it and select "Hide from list." You can also try going to Outlook > Preferences > Accounts in your Mac Outlook, select your Gmail account, click "Advanced," and look for calendar sync options to exclude the birthday calendar.
The Google Calendar web interface will be your best bet for controlling what gets synced to your Outlook. Let me know if you can find the Birthdays calendar in your Google Calendar settings.
Best,