Problems with `@stencil/core@>4.38.3` + `@stencil/[email protected]`

We are experiencing intermittent execution issues when running our end-to-end (E2E) tests.

Reproduction:

1. Checkout https://github.com/public-ui/kolibri
2. Go to packages/components
3. Update @stencil/core@>4.38.3
4. pnpm i
5. pnpm test:e2e