perf: add probe jitter and first-run randomization

[abishekve]

Pull Request

📋 Description

Brief description of the changes and why they are needed.

Fixes # (issue number)

🔄 Type of Change

• 🐛 Bug fix (non-breaking change which fixes an issue)
• 🚀 New feature (non-breaking change which adds functionality)
• 💥 Breaking change (fix or feature that would cause existing functionality to not work as expected)
• 📚 Documentation update
• 🔧 Code refactoring (no functional changes)
• ⚡ Performance improvement
• 🛡️ Security enhancement
• 🧪 Test improvements

🧪 Testing

• Unit tests pass
• Integration tests pass
• Manual testing completed
• No existing tests were broken

📝 Changelog Entry Required

• I have added an entry to CHANGELOG.md under "Unreleased" section

Changelog Category (select one):

• Added - New features
• Changed - Changes in existing functionality
• Deprecated - Soon-to-be removed features
• Removed - Removed features
• Fixed - Bug fixes
• Security - Security improvements

Changelog Entry:

Brief description of the change for end users

✅ Checklist

• My code follows the project's code style guidelines
• I have performed a self-review of my code
• I have commented my code, particularly in hard-to-understand areas
• I have made corresponding changes to the documentation
• My changes generate no new warnings
• I have added tests that prove my fix is effective or that my feature works
• New and existing unit tests pass locally with my changes

🔍 Code Quality

• Code has been formatted using project standards
• No hardcoded secrets or sensitive data included
• Error handling is appropriate
• Logging is appropriate (no sensitive data logged)

📸 Screenshots (if applicable)

Add screenshots or GIFs to help explain your changes.

🔗 Related Issues

• Closes #(issue number)
• Related to #(issue number)

📋 Additional Notes

Any additional information, deployment notes, or context that reviewers should know.

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Note: This PR will not be merged without a changelog entry unless labeled skip-changelog.