[Phase 5.3] Feedback status management for org admins

[Andreas-Froyland]

Goal

Let org admins update the status of feedback items. Status changes are visible on the public portal and can trigger roadmap updates.

Depends on: #13 (detail view) - status dropdown shows here, #14 (public portal) - status visible publicly

Statuses

Status	Meaning
Open	Newly submitted, not yet reviewed
In Progress	Being worked on
Done	Completed or resolved
Closed	Won't fix / duplicate / out of scope

UI

• Status dropdown on the feedback detail page (admin only) ([Phase 2.3] Build feedback detail view #13)
• Status badge updates immediately (optimistic UI)
• Status filter in the feedback listing works with all statuses ([Phase 2.2] Build feedback listing page with filters and sorting #11)
• Public portal shows status badges ([Phase 3.1] Build public feedback portal #14) — org can choose which are visible

Backend

• PATCH /api/feedback/[id] with { status }
• Auth: org admin only
• Validate status value is one of the allowed enum values
• Record status change timestamp for activity feed ([Phase 5.2] Build dashboard with feedback metrics #20)

Roadmap sync

• If the feedback item is linked to a roadmap item, consider auto-updating the roadmap item status (stretch — can be manual for MVP)

Notes

• Status management is a key admin feature - makes the platform useful for actual workflow
• Don't overthink it for MVP - just the 4 statuses above