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>

tools/start-ui.bat

@@ -0,0 +1,16 @@
+@echo off
+REM Start the Entropyk UI API server on :3030 without stale-process issues.
+REM Kills any leftover ui-server.exe (they survive dead shells on Windows and
+REM lock the port AND cargo build outputs), then starts the freshest binary.
+setlocal
+for /f "tokens=2" %%P in ('tasklist /FI "IMAGENAME eq ui-server.exe" /NH 2^>nul ^| findstr ui-server') do (
+  echo Killing stale ui-server.exe PID %%P
+  taskkill /PID %%P /F >nul 2>&1
+)
+if exist "%~dp0..\target\release\ui-server.exe" (
+  echo Starting RELEASE ui-server on http://localhost:3030
+  "%~dp0..\target\release\ui-server.exe"
+) else (
+  echo Starting debug ui-server on http://localhost:3030 ^(build release for speed: cargo build --release -p entropyk-demo --bin ui-server^)
+  "%~dp0..\target\debug\ui-server.exe"
+)