docs: refresh README

[ChiragAgg5k]

Refreshes the README with the rewritten getting-started guide and corrected badges, links and install steps from appwrite/sdk-generator#2077 and appwrite/appwrite#14613.

README files only. No code, version or changelog changes, so this does not need a release.

[hansi-codes]

🟢 Tier S · Ready to merge

The README refresh reorganizes the getting-started guide and adds first-request, OAuth, typed model, error-handling, and push documentation, alongside updated badges, links, and installation steps. The OAuth example now includes the Expo package installation command it depends on.

Latest changes: The newest commit adds npx expo install expo-auth-session expo-web-browser before the OAuth example.

Verdict	New comments	Fixed	Still open
✅ Approved	0	0	0

📂 Walkthrough · 1

File	Change
README.md	Refreshes the setup guide and examples, updates badges and links, and adds the Expo dependencies required by the OAuth example.

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_{Reviewed the commits since 6f43668 · Details · Comment @hansi-codes review to re-run, or mention @hansi-codes with a question.}

[hansi-codes]

🔵 Tier A · Looks good to merge. Summary

[hansi-codes]

🟢 Tier S · Looks good to merge. Summary