chore(deps): Remove unused @sentry/types dependency

[antonis]

📢 Type of change

• Bugfix
• New feature
• Enhancement
• Refactoring

📜 Description

Removes the direct dependency on @sentry/types, which is deprecated and will be removed in the next major version of the JavaScript SDK. All types are now exported from @sentry/core.

No source files import from @sentry/types — it was an unused direct dependency. Also removes it from the yalc:add:sentry-javascript script.

💡 Motivation and Context

@sentry/types is deprecated in favor of @sentry/core, which re-exports all types. Other JS SDKs have already moved away from it.

Closes #6200

💚 How did you test it?

• yarn build — passes
• yarn test — all tests pass
• yarn lint — no violations
• yarn circularDepCheck — no circular dependencies
• yarn api-report:check — API report unchanged

📝 Checklist

• I added tests to verify changes
• No new PII added or SDK only sends newly added PII if sendDefaultPII is enabled
• I updated the docs if needed.
• I updated the wizard if needed.
• All tests passing
• No breaking changes

🔮 Next steps

[github-actions]

Semver Impact of This PR

⚪ None (no version bump detected)

📋 Changelog Preview

This is how your changes will appear in the changelog.
Entries from this PR are highlighted with a left border (blockquote style).

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• chore(deps): Remove unused @sentry/types dependency by antonis in #6207

• chore(deps): bump @tootallnate/once from 2.0.0 to 2.0.1 by dependabot in #6206
• chore(deps): update Sentry Android Gradle Plugin to v6.8.1 by github-actions in #6196
• feat(core): Expose pauseAppHangTracking and resumeAppHangTracking APIs by antonis in #6192

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