chore: update posthog packages to latest versions

[brendan-kellam]

Summary

• Updates posthog-node from ^5.17.4 to ^5.24.15
• Updates posthog-js from ^1.309.1 to ^1.345.5

Test plan

• Verify the app builds successfully
• Verify PostHog events are still being tracked correctly

🤖 Generated with Claude Code

Summary by CodeRabbit

• Chores
  • Updated analytics dependencies to latest stable versions for improved reliability and performance.

[coderabbitai]

Walkthrough

This PR updates PostHog library versions across the backend and web packages. The changes include updating posthog-node to ^5.24.15 and posthog-js to ^1.345.5, with corresponding CHANGELOG documentation.

Changes

Cohort / File(s)	Summary
Dependency Updates packages/backend/package.json, packages/web/package.json	Updated posthog-node from ^5.17.4 to ^5.24.15 and posthog-js from ^1.309.1 to ^1.345.5.
Documentation CHANGELOG.md	Added entry documenting the PostHog library version updates for PR #881.

Estimated code review effort

🎯 1 (Trivial) | ⏱️ ~3 minutes

Suggested reviewers

• msukkari

🚥 Pre-merge checks | ✅ 3

✅ Passed checks (3 passed)

Check name	Status	Explanation
Title check	✅ Passed	The title accurately summarizes the main change: updating PostHog dependency versions across multiple packages.
Docstring Coverage	✅ Passed	No functions found in the changed files to evaluate docstring coverage. Skipping docstring coverage check.
Description Check	✅ Passed	Check skipped - CodeRabbit’s high-level summary is enabled.

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✨ Finishing touches

• 📝 Generate docstrings

🧪 Generate unit tests (beta)

• Create PR with unit tests
• Post copyable unit tests in a comment
• Commit unit tests in branch brendan/update-posthog-packages

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