It should fall under unpublished since this is a private site behind a paywall. As long as you don't post your writing here with visibility set for the internet (i.e., widest exposure), you should have no trouble. If you want to go the extra step of only posting it to a private group to limit the number of members who can see it, that's even more secure as long as you again exclude internet when posting it.
From Gemini:
In most cases, yes, publishers will still consider a work that has been posted to a private, paywalled workshop site to be unpublished.
The key distinction for publishers is not whether a handful of people have seen it, but whether the work has been made widely available to the general public and thus lost its "first rights" value.
Here is a breakdown of why a private workshop site is generally not an issue:
Limited Audience: A private site with a membership or paywall is not considered a public venue. The audience is small, and the work is not discoverable by search engines like Google. A publisher is primarily concerned with the work having been put into the public domain where it can be widely read, which would hurt its marketability.
Purpose for Feedback: Publishers understand that writers need to refine their work, and they know that workshops are essential to that process. The purpose of these sites is to produce a better manuscript for submission, not to act as a public library.
The Free Trial Period: The short free trial period for new members is unlikely to be a problem. The audience is still limited to a select group of people who have signed up for the service, not the general public.
The most important thing to do is to be honest with a publisher or agent if they ask about the manuscript's history. You can simply state that it was circulated for feedback on a private, members-only workshop site. This is a very common and accepted practice in the industry.
