refactor(ui): the badge layer gets one owner per shape (#3132 items 1-3)

ITEM 1 — the dead canon. StatusBadge is recorded canon (#2960) and its only
consumer, TaskCard, has been unreachable since 2026-04-08, when
TasksListView was deleted in favour of the Knowledge view. Four and a half
months of a canon that rendered nowhere, which is worse than no canon: a
session pulls #2960, builds from it, and matches a component nobody has
seen. TaskCard is deleted (rule 22), and the canon is made real by adoption
rather than by being left as a museum piece.

ITEM 2 — MY OWN ISSUE OVERSTATED THIS, and the correction is the finding.
"Three scoped re-spellings" assumed one shape spelled thrice. Reading them:

  KnowledgeView   a task-status chip, just smaller     -> a real duplicate
  WorkspaceTaskPanel  a CLICKABLE cycler: pointer,
                  outlined, transparent background     -> a control, not a chip
  ProjectView     PROJECT lifecycle (active/paused/
                  completed/archived)                  -> a different vocabulary

Only the first was ever a duplicate. The others shared a class NAME and
nothing else — which is exactly what would make a future consolidation merge
three unrelated things. So: KnowledgeView adopts StatusBadge/PriorityBadge
via the `compact` variant the canon already anticipated ("interactive/compact
re-spellings are variants of it"); the cycler becomes `.status-cycler`; and
project status becomes its own vocabulary.

And there was a FOURTH, in ProjectListView — the genuine duplicate of
ProjectView's project pill, differing by the amounts two hands differ by:
0.68rem vs 0.7rem, a 14% tint vs 15%, one bordered and one not. Both now use
one ProjectStatusBadge. `statusLabel` went with its only caller.

ITEM 3 — weight. StatusBadge and PriorityBadge used font-weight 600; the
house style allows 400 and 500 only. Also "In Progress" -> "In progress",
which was invisible under `text-transform: uppercase` and becomes visible the
moment the compact variant turns that off.

THE GUARD MISSED FOUR LIVE SITES, which is the part worth keeping. The
project pills painted a hue on an inline `color-mix` tint of itself —
measured 1.61-2.39:1 — and the checker only knew the `--fs-X-bg` token form.
Widened, it finds 48 across the app, 26 of them --fs-accent.

That backlog is not this task, so the check now splits: it GATES the token
form, which is clean, and REPORTS the inline form with a count and its worst
offenders. A gate nobody can satisfy today gets switched off, and then it
guards nothing. Gate re-verified by reintroducing a defect — exit 1 with it,
exit 0 without.

Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>

frontend/src/views/ProjectView.vue

@@ -9,6 +9,7 @@ import { relativeTime } from "@/composables/useRelativeTime";
 import { renderMarkdown } from "@/utils/markdown";
 import ShareDialog from "@/components/ShareDialog.vue";
 import KindBadge from "@/components/KindBadge.vue";
+import ProjectStatusBadge from "@/components/ProjectStatusBadge.vue";
 import type { TaskKind } from "@/types/note";
 import ProjectDesignTab from "@/components/ProjectDesignTab.vue";
 import ProjectRulesTab from "@/components/rules/ProjectRulesTab.vue";
@@ -696,9 +697,7 @@ async function confirmDelete() {
       <div class="project-header">
         <div class="title-row">
           <input v-model="editTitle" type="text" class="project-title-input" placeholder="Project title" />
-          <span :class="['status-badge', `status-${project.status}`]">
-            {{ project.status.charAt(0).toUpperCase() + project.status.slice(1) }}
-          </span>
+          <ProjectStatusBadge :status="project.status" />
         </div>
         <p v-if="project.goal" class="project-goal">{{ project.goal }}</p>
         <p v-if="project.summary?.last_activity" class="project-activity">
@@ -1240,19 +1239,6 @@ async function confirmDelete() {
 .project-title-input:focus { border-bottom-color: var(--fs-accent); }
 .project-title-input::placeholder { color: var(--fs-text-tertiary); font-weight: 400; }
 
-.status-badge {
-  font-size: 0.68rem;
-  font-weight: 500;
-  text-transform: uppercase;
-  letter-spacing: 0.05em;
-  padding: 0.18rem 0.55rem;
-  border-radius: 999px;
-  flex-shrink: 0;
-}
-.status-active   { background: color-mix(in srgb, var(--fs-success) 14%, transparent); color: var(--fs-success); border: 1px solid color-mix(in srgb, var(--fs-success) 30%, transparent); }
-.status-paused    { background: color-mix(in srgb, var(--fs-warning) 14%, transparent); color: var(--fs-warning); border: 1px solid color-mix(in srgb, var(--fs-warning) 30%, transparent); }
-.status-completed { background: color-mix(in srgb, var(--fs-accent) 14%, transparent); color: var(--fs-accent); border: 1px solid color-mix(in srgb, var(--fs-accent) 30%, transparent); }
-.status-archived  { background: color-mix(in srgb, var(--fs-text-tertiary) 14%, transparent); color: var(--fs-text-tertiary); border: 1px solid color-mix(in srgb, var(--fs-text-tertiary) 30%, transparent); }
 
 .project-goal {
   font-size: 1rem;