chore: add Inkeep sync workflow

[sarahxsanders]

Changes

adds a new workflow that triggers Inkeep's source sync API on an hourly cron, so our RAG stays fresher than the default 24-hour sync. it's been reported that docs freshness causes issues for both AI search on the site and in PostHog AI because docs updates go out faster than Inkeep can sync/keep up with

notes:

• hourly syncing narrows the window without requiring the complexity of syncing on every merge to master
• the workflow runs on top of Inkeep's default 24-hour sync, so if it ever breaks we fall back to existing behavior automatically
• each source (docs + handbook) gets its own job rather than sharing one via a matrix strategy this way each job only has access to the secret it needs (CodeQL flagged this)

[github-actions]

Deploy preview

Status	Details	Updated (UTC)
🟢 Ready	View preview	Apr 22, 2026 02:42PM