Where do Claude 'live artifacts' actually live, and is building a custom web app a better approach for more customization?

One member clarified that live artifacts, as they understood it, live in 'co-work' (running locally on your machine), not just in the Claude chat web page, though this may have changed recently. They noted this setup is meant to let you pull data in from different places as one use case for a web app. Another member recommended using Claude Code instead so you can build a fully custom app for yourself, saying it's relatively easy to add features that seem tricky, like embedding an agent directly inside a portal, giving you more customization than relying on artifacts alone. It was also suggested you could build in extra logic, such as a button that triggers an automation to Plaid, applies some intelligence, and returns a result—making the app fully custom from scratch.