PR Checklist

Keeps the Analog Sanity blog example's generated files inside the example package instead of writing app build output into repository-level dist folders.

Closes N/A

What is the new behavior?

• The Analog example's Angular builder and Vite build output resolve to apps/analog-sanity-blog-example/dist.
• The app TypeScript output also resolves under the example package.
• Redundant Vite/Analog/Nitro directory settings were removed now that package-local defaults are used.
• The root tsconfig.base.json path plugins remain because they are still needed for workspace package imports.
• The Nitro alias for @/analog-sanity-blog-example/sanity remains because the dev worker used by e2e needs it at runtime.

Does this PR introduce a breaking change?

• Yes
• No

Other information

Validated with:

• pnpm --filter analog-sanity-blog-example build
• pnpm --filter analog-sanity-blog-example exec ng build
• pnpm turbo run e2e --filter=sanity-presentation-e2e
• git diff --check

Both build entry points emit under apps/analog-sanity-blog-example/dist; no apps/dist or root dist/apps/analog-sanity-blog-example directory is produced.

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