[Website] Avoid autosave prompts in embedded Playground

[adamziel]

What changed

Don't offer restoring an autosaved Playground in Playgrounds:

• Embedded in an iframe on another sute
• With ?mode=seamless
• With ?can-save=no

There's no way to manage Playgrounds under those circumstances and the user expectation is just getting a fresh Playground instance.

Screenshots

Before, the browser-saving status/action is visible:

After, the save/autosave status is hidden when saving is disabled by the shell:

Testing

• git diff --check HEAD^ HEAD
• npm exec -- nx test playground-website -- --testFile=router.spec.ts
• CI Playwright coverage for the new seamless and embedded-shell cases.

[Copilot]

Pull request overview

Note

Copilot was unable to run its full agentic suite in this review.

Hides autosave/save UI and skips autosave site creation when the Playground shell is in seamless mode or embedded in an iframe, in addition to the existing can-save=no query parameter check.

Changes:

• Replaced isSaveDisabledByQueryParam() with a broader isSiteSavingDisabled(url, win) helper that also detects mode=seamless and iframe embedding (including cross-origin parents).
• Updated all call sites (BrowserChrome, TemporarySiteNotice, EnsurePlaygroundSiteIsSelected) to use the new helper.
• Added unit tests for the new helper and Playwright tests verifying the save status indicator is hidden in seamless and embedded shells.

Reviewed changes

Copilot reviewed 6 out of 6 changed files in this pull request and generated 3 comments.

Show a summary per file

File	Description
packages/playground/website/src/lib/state/url/router.ts	Renames/extends saving-disabled check to include seamless mode and iframe embedding.
packages/playground/website/src/lib/state/url/router.spec.ts	Adds unit tests covering the new conditions.
packages/playground/website/src/components/site-manager/temporary-site-notice/index.tsx	Updates import/usage to new helper.
packages/playground/website/src/components/ensure-playground-site/ensure-playground-site-is-selected.tsx	Uses new helper when deciding to use a temporary site; updates comments.
packages/playground/website/src/components/browser-chrome/index.tsx	Hides SaveStatusIndicator based on new helper.
packages/playground/website/playwright/e2e/website-ui.spec.ts	Adds e2e tests for seamless and iframe-embedded shells.

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