Snapshot WIP: solver HP epic progress, BPHX/HX physics, BMAD skill refresh.

Capture uncommitted solver robustness work (regularization, domain errors, linear solver lifecycle, tube DP/MSH), web workbench updates, and synced BMAD skills across IDE agent folders before starting BPHX pressure-drop.

Co-authored-by: Cursor <cursoragent@cursor.com>

apps/web/src/components/DofStatusBar.tsx

@@ -6,6 +6,7 @@ import { buildDofCoach, type CoachSeverity } from "@/lib/dofCoach";
 import type { DofBalance } from "@/lib/dofLedger";
 import type { EntropykNodeData } from "@/lib/configBuilder";
 import type { Node } from "@xyflow/react";
+import ApiHealthIndicator from "@/components/shell/ApiHealthIndicator";
 import {
   AlertTriangle,
   CheckCircle2,
@@ -118,6 +119,7 @@ export default function DofStatusBar() {
         </span>
 
         <span className="mono ml-auto hidden items-center gap-2 text-[10px] text-[var(--ink-faint)] md:flex">
+          <ApiHealthIndicator />
           <Sparkles size={11} className="text-[var(--accent)]" />
           <span>{coach.tips.length} tip{coach.tips.length > 1 ? "s" : ""}</span>
           <span>·</span>