chore: marking example packages private

[joker23]

this PR will mark example repos as private in their package.json

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Note

Low Risk
Low risk: this only adds "private": true to example package.json files to prevent accidental publication; it does not change runtime code or dependencies.

Overview
Marks multiple SDK example apps as private npm packages by adding "private": true to their package.json files (Akamai base/EdgeKV, Cloudflare, Fastly, React Native, Server AI examples, Shopify Oxygen, Svelte, and Vercel). This reduces the chance of accidentally publishing these example projects to a registry.

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[github-actions]

@launchdarkly/js-sdk-common size report
This is the brotli compressed size of the ESM build.
Compressed size: 25661 bytes
Compressed size limit: 29000
Uncompressed size: 126143 bytes

[github-actions]

@launchdarkly/js-client-sdk size report
This is the brotli compressed size of the ESM build.
Compressed size: 31556 bytes
Compressed size limit: 34000
Uncompressed size: 112044 bytes

[github-actions]

@launchdarkly/browser size report
This is the brotli compressed size of the ESM build.
Compressed size: 179331 bytes
Compressed size limit: 200000
Uncompressed size: 829227 bytes

[github-actions]

@launchdarkly/js-client-sdk-common size report
This is the brotli compressed size of the ESM build.
Compressed size: 37015 bytes
Compressed size limit: 38000
Uncompressed size: 202741 bytes

[devin-ai-integration]

✅ Devin Review: No Issues Found

Devin Review analyzed this PR and found no bugs or issues to report.