It's been through a few developments in terminology. Google Workspace refers to the suite of apps, regardless of how they are paid, deployed, or who uses them.
Google Workspace is available to "normal free Gmail users" just as it is to Enterprise admins. I am an individual user with three personal accounts, I subscribe to Google One, and I use Google Workspace on all those accounts. Likewise, at work I use Google Workspace as provided by my employer.
It has different features and structures depending on level of service, but it's the same name for everyone.
It may, in fact, be instructive if you ask Bard "are you available for Google Workspace?"
I mentioned that in my original question above: https://news.ycombinator.com/item?id=37587300
From that comment:
"not just personal gmail"
"I've tried enabling this setting for both a legacy free Google Apps domain, and for a paid Business account"
I even included a screenshot of the Google Workspace Admin settings (which doesn't apply to personal @gmail.com accounts).
I was talking about one of the 'Business' plans listed on the Google Workspace Pricing page (https://workspace.google.com/pricing.html) or the legacy free plan (which used to be GSuite for your domain).