App Clips & Markdown Deep Links

After reading through related postings & watching WWDC sources I still was not able to make deep (markdown) links work in a App Clips.

Status Quo:

1. Our full app currently uses URL Schemes for different environments
2. We also employ markdown links in SwiftUI Text components to easily link from static and dynamic text content into the app (e.g. my-app://support, my-app-dev://support to navigate to the support page)
3. Deep links are handled in onOpenURL()
4. Launching the App Clip works fine so far without making any changes to the webserver just by configuring "App Clips Testing" in the Developer settings.

Question

Since URL schemes are not supported (right?) with App Clips: Can deep linking be accomplished (without making any changes to the webserver)? and if not: how would that look like for different target environments?

Reference

https://developer.apple.com/documentation/app_clips/associating_your_app_clip_with_your_website https://developer.apple.com/documentation/app_clips/configuring_the_launch_experience_of_your_app_clip