@builder-io/sdk-qwik doesn't hydrate qwikified islands

**Describe the bug**
In `serve` I get an error and then the components do not hydrate, no matter the strategy. It is broken even in production mode.

**Deployed app URLs**
Here is Builder.io managed page: https://web-8cx.pages.dev/builder/demo/
Here is the normal page with the working dialog: https://web-8cx.pages.dev/

**To Reproduce**
Steps to reproduce the behaviour:
1. Open the normal page.
2. Click the Open button next to the ⚡️.
3. Dialog opens (hydration is on hover).
4. Open the Builder.io page.
5. Click the Open Dialog button.
6. Nothing happens.

**Expected behaviour**
Qwikified components hydrate well in Builder.io pages.

**Screenshots**
If applicable, add screenshots to help explain your problem.

Reproduce the failure using the normal and Builder.io-managed page URLs, following the listed dialog and hover-hydration steps, and capture the error from serve. Compare the two pages to identify where Qwikified islands stop hydrating; done means the dialog works on the Builder.io page in both development and production modes.

Written by the indexing model from the issue text.