Hello Jean-Serge--
Thank you for your reply. You're right; web tracking in the web app properties will not help in this case. Yes, we have GA but the problem is that I don't know which web page is using the web app. We have shut down this newsletter service and basically deleted the web page where we used to collect subscribers (and we have stopped sending emails to them since early August), which is why it's puzzling that we're still getting new signups. I am assuming that this source is some rogue legacy page (or worse, some sort of a script) that has predated all of us on the team and so no one knows about it (which is terrible, I know, but oh well). As an aside, every single one of these new subscribers has a hard-coded zip code of 55401 (Minneapolis, MN -- where we don't have a market presence; the newsletter was local to Oregon residents!)
And yes, every web app that I created after I started on this job has that origin parameter in the query string for attribution, reporting and analysis purposes.
Which leaves us with the logging. I like this idea. We are not on-prem, but I suppose I can ask Adobe Support to enable verbose logging for at least a day?
Thanks again,
Sonny