feat(#70): IMP-41 application_mode forwarding to FramePanel V4 badge tooltip (u1~u5)

Forward backend Step 9 `unit.application_candidates[]` (application_mode /
auto_applicable / delegated_to) onto FrameCandidate and surface the
application_mode as a Korean consequence phrase in the FramePanel V4-label
inline badge tooltip. Deterministic frontend-only refactor; no LLM call,
no V4-label color change, no outer composedTitle change.

u1: types/designAgent.ts — add optional applicationMode / autoApplicable /
    delegatedTo on FrameCandidate (legacy fixtures keep undefined).
u2: services/applicationMode.ts (new) — pure helper exporting
    ApplicationMode union, APPLICATION_MODE_TOOLTIP_KR (keyed by backend
    mode VALUE, NOT V4 label), buildBadgeTitle, mergeApplicationCandidates.
u3: tests/imp41_application_mode.test.ts (new) — 13 Vitest cases pinning
    composite output per mode, undefined/unknown→legacy fallback, merge by
    template_id, skip missing/empty/non-string keys, first-wins on dupes,
    empty/null/non-array input.
u4: services/designAgentApi.ts — bridge consumes mergeApplicationCandidates
    and forwards three fields onto FrameCandidate while preserving
    LABEL_PRIORITY sort and TOP_N_FRAMES slicing.
u5: components/FramePanel.tsx — V4-label badge `title` now calls
    `buildBadgeTitle(candidate.label, candidate.applicationMode)`;
    badge color className map preserved verbatim; outer composedTitle
    untouched.

Scope-qualified verification (5 files, IMP-41 axis only):
- Vitest: client/tests/imp41_application_mode.test.ts — 13/13 PASS.
- Diff↔Plan parity: 5 files match Stage 2 plan, no scope creep.
- AI-isolation contract honored: tooltip values originate from backend
  enum; no frontend re-derivation from V4 label.
- No spacing/font shrink; clipping resolution stays at layout/zone/frame
  layer (feedback_phase_z_spacing_direction).

Pre-existing unrelated diagnostics (BottomActions.tsx,
imp47b_human_review_toast.test.tsx) remain open on their own axes and are
not gated by this commit.

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>

Front/client/src/services/designAgentApi.ts

@@ -20,6 +20,8 @@ import {
   MOCK_FRAME_CANDIDATES_SECTION1,
 } from "../data/mockDesignAgentData";
 
+import { mergeApplicationCandidates } from "./applicationMode";
+
 /** 네트워크 지연 시뮬레이션 */
 const simulateDelay = (ms: number = 800) =>
   new Promise((resolve) => setTimeout(resolve, ms));
@@ -527,9 +529,20 @@ export async function loadRun(runId: string): Promise<LoadRunResult> {
       if (lp !== 0) return lp;
       return (b.confidence ?? 0) - (a.confidence ?? 0);
     });
+    // ─── IMP-41 u4 — application_candidates enrichment (issue #70) ───────────
+    // Backend Step 9 emits `unit.application_candidates[]` (src/phase_z2_pipeline.py
+    // _application_candidates_for_unit, :3071-3092) one entry per v4 candidate with
+    // application_mode / auto_applicable / delegated_to derived from
+    // APPLICATION_MODE_BY_V4_LABEL (:107-112). Indexing delegated to the pure
+    // helper `mergeApplicationCandidates` (services/applicationMode.ts) keyed
+    // by template_id. Enrichment ONLY — does NOT alter candidate source
+    // priority, sorting, or TOP_N_FRAMES slicing.
+    const applicationModeMap = mergeApplicationCandidates(unit.application_candidates);
     const frameCandidates: FrameCandidate[] = v4Source
       .slice(0, TOP_N_FRAMES)
-      .map((c: any) => ({
+      .map((c: any) => {
+        const appMatch = applicationModeMap.get(c.template_id);
+        return ({
         id: c.template_id,
         name: c.template_id,
         score: c.confidence ?? 0,
@@ -559,7 +572,15 @@ export async function loadRun(runId: string): Promise<LoadRunResult> {
         decision: c.decision,
         reason: c.reason,
         capacityFit: c.capacity_fit,
-      }));
+        // ─── IMP-41 u2 — application_mode forwarding (issue #70) ───────────
+        // Source = unit.application_candidates[] indexed by template_id above.
+        // Optional fields — undefined when no matching application_candidate
+        // (legacy fixtures pre-IMP-32 or candidates filtered out at Step 9).
+        applicationMode: appMatch?.application_mode,
+        autoApplicable: appMatch?.auto_applicable,
+        delegatedTo: appMatch?.delegated_to ?? null,
+      });
+      });
 
     const displayStrategy = (
       runMeta.display_strategy_candidates_by_zone[posEntry.name]?.[0] ??