feat(site): add VS Code extension section and link-preview metadata

[elkaix]

Related Issue

No issue. The site had no mention of the VS Code extension, and pasting the site URL into Slack/X/iMessage produced a bare link with no image or description.

Problem

• code.pythinker.com only covered the terminal CLI, so visitors had no idea the VS Code extension exists or how to install it.
• index.html had no Open Graph or Twitter card tags, so link previews showed nothing but the URL.
• The npm package page renders a broken image: the README hero points at docs/media/init.webp, which does not exist in the repo (raw URL 404s).

What changed

• New VS Code extension section, placed directly after the hero: product screenshot, three capability points, a Marketplace button, and a copyable code --install-extension pythoughts.pythinker-code (reuses the existing copyText helper and copy-button markup).
• Added Open Graph + Twitter summary_large_image metadata, apple-touch-icon, and favicon.ico.
• Added public/og.jpg (1200×630 preview card) plus the icon set the metadata references.
• Pointed the CLI README hero at docs/media/terminal-ui.webp, which exists. This takes effect on the npm page at the next publish.

[skip changeset] — @pythoughts/site is private and not released, and the README edit is docs-only, so no package bump applies.

Checklist

• I have read the CONTRIBUTING document.
• I have linked a related issue, or explained the problem above.
• I have added tests that prove my feature works. — marketing site markup and metadata; verified with pnpm build and a rendered preview.
• Ran gen-changesets skill, or this PR needs no changeset.
• Ran gen-docs skill, or this PR needs no doc update.

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📥 Commits

Reviewing files that changed from the base of the PR and between 45be822 and dd2949a.

⛔ Files ignored due to path filters (11)

• apps/site/public/apple-touch-icon.png is excluded by !**/*.png, !**/*.png
• apps/site/public/arctecture.webp is excluded by !**/*.webp
• apps/site/public/bimi-logo.svg is excluded by !**/*.svg
• apps/site/public/favicon.ico is excluded by !**/*.ico
• apps/site/public/icon-192.png is excluded by !**/*.png, !**/*.png
• apps/site/public/icon-512.png is excluded by !**/*.png, !**/*.png
• apps/site/public/icon.svg is excluded by !**/*.svg
• apps/site/public/logo.png is excluded by !**/*.png, !**/*.png
• apps/site/public/og.jpg is excluded by !**/*.jpg
• apps/site/public/pythinker_animated.svg is excluded by !**/*.svg
• apps/site/public/vscode_img.jpeg is excluded by !**/*.jpeg

📒 Files selected for processing (8)

• apps/pythinker-code/README.md
• apps/site/index.html
• apps/site/public/_headers
• apps/site/public/code/oauth-success.html
• apps/site/public/install.ps1
• apps/site/public/install.sh
• apps/site/public/robots.txt
• apps/site/src/App.vue

---

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[pkg-pr-new]

pnpm dlx https://pkg.pr.new/@pythoughts/pythinker-code@dd2949a

npx https://pkg.pr.new/@pythoughts/pythinker-code@dd2949a

commit: dd2949a