No, not an idiot. I didn't use the best terms. I updated them to say "Web (frontend) hosting" which are my static files (the HTML, JS, CSS) which is deployed to Firebase Hosting and "Server (backend) hosting" which is my backend Python Flask web server which is deployed to Google Compute Engine (GCE).

So, the website files are hosted on Firebase while the backend is hosted on GCE. The database is actually not hosted; it's just a SQLite file stored on my GCE instance.