`_needsInit` replaced the JS-side `window._injected` guard in 9cec89a, but
the two have different lifetimes. `window._injected` died with the page, so
any page load re-ran `initVideo()`. `_needsInit` lives on the store and was
only re-armed by `handleRefresh()`.
The store outlives the Video widget, which loads `videoUrl` on every mount.
Those reloads hit `onPageFinished` with `_needsInit` already false and
returned early, so the player came back with no play/pause listeners, no
cached `_videoEl`, no autoplay call and no overlay CSS — visibly stuck
paused with a play button that did nothing, unrecoverable without an app
restart.
Re-arm on `onPageStarted` so every navigation re-initializes, restoring the
page-scoped lifetime while keeping the Dart-side control that fixed the
original race.
Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>
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