Always use flutter build when running tests + fix server reuse tests (#1959)
* Switch to always running Flutter version for server tests
* WIP: Fix server reconnect test - uses dart:html!
* Create HTML stub to use dart:html on web
* Change import to relative
* Remove unused import
* Improve error
* Enable web support for integration tests
* Move reconnect handling into Scaffold
* nit: remove "back"
* Revert unnecessary null handling