chore: update posthog-js to 1.393.0

[invisiblemask]

Summary

Updates the PostHog Web SDK (posthog-js) from ^1.334.0 to 1.391.2 to keep web analytics/tracking current.

• posthog-js: ^1.334.0 → 1.391.2 (pinned to the verified version; ^ would float to 1.392.0)
• Lockfile regenerated; the diff reflects transitive deps dropped by newer posthog-js

Test plan

• CI build passes
• PostHog events/pageviews verified in dashboard after deploy

Part of a coordinated PostHog Web SDK bump across IQ.wiki, Aiden, IQ Dashboard, BrainDAO Landing, and Sophia Landing.

closes https://github.com/IQIndustries/issues/issues/5030

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Project	Deployment	Actions	Updated (UTC)
braindao-ui	Ready	Preview	Jun 24, 2026 12:07pm

[gemini-code-assist]

Code Review

This pull request updates the posthog-js dependency in package.json from ^1.334.0 to a pinned version of 1.391.2. The lockfile pnpm-lock.yaml has been updated accordingly, resulting in the removal of several unused transitive dependencies (such as @opentelemetry and @protobufjs packages) and updates to other packages like dompurify, preact, and web-vitals. As there are no review comments, I have no feedback to provide.

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