[v2] Standardize the example projects

[LeCarbonator]

As a final cleanup pass, the example projects should be reviewed for consistent naming, configuration, tooling, and branding. Some examples originated from TanStack Template and still contain differences or leftover assets that should be addressed.

Checklist

• Remove any remaining TanStack Template wording.
• Review package names for duplicates or incorrect names.
• Standardize the head configuration across examples.
• Use the same port where reasonably possible.
• Include TanStackDevtools in every example with hideUntilHover: false.
• Apply a consistent StrictMode policy across all examples.
• Review lingering emblem SVG files and consider replacing them with a shared TanStack logo SVG.