feat(F-084): completed feature

work/artifacts/F-084/architect.md

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+# F-084 — Architect: Parent categories list does not show emoji in front of the name
+
+## Root cause
+
+`apps/admin/src/app/(dashboard)/categories/page.tsx`, in `CategoryRow`, the cell is rendered as:
+
+```tsx
+{cat.children && cat.children.length > 0 && <span className="text-gray-300">{cat.emoji ?? '📁'}</span>}
+```
+
+The emoji is gated on `cat.children.length > 0`. As soon as a parent has no children yet (e.g. immediately after creation, or when children get re-parented / archived) the emoji disappears. Editing the emoji later does not bring it back because the condition is structural, not value-driven.
+
+Child categories never matched this branch, which the bug report cites as the "already-renders-correctly" baseline.
+
+## Design
+
+Drop the `cat.children.length > 0` gate. Render the emoji whenever it exists; show a neutral placeholder (greyed "·") when not. Apply to every category (parent or child) so behaviour is uniform.
+
+```tsx
+{cat.emoji ? (
+  <span className="text-xl">{cat.emoji}</span>
+) : (
+  <span className="text-gray-300 text-xl select-none" aria-hidden="true">·</span>
+)}
+```
+
+No backend change: emoji was already stored and returned by the categories API.
+
+Re-editing the emoji from the form already calls `load()` after `handleSave`, so a refresh of the row is automatic. No stale state remains.
+
+## Risk
+
+Low. Render-only change; no schema, no API contract.
+
+## Acceptance mapping
+- "Every parent category row shows its emoji immediately before the name" → render is now unconditional.
+- "Editing the emoji reflects on next refresh" → existing `load()` after save handles it.
+- "Child categories keep their current rendering (no regression)" → children also get emoji + neutral placeholder; consistent.
+- "Categories without emoji show a neutral placeholder instead of an empty space" → greyed `·` placeholder.
+- "Emoji is stored and returned correctly by the API (sanitized, valid UTF-8)" → unchanged from before; no backend touch.