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>

crates/solver/tests/dof_balance.rs

@@ -3,7 +3,9 @@
 //! Verifies that the ledger counts equations and unknowns consistently and that
 //! `finalize` hard-fails on square-system violations.
 
-use entropyk_components::{Component, ComponentError, ConnectedPort, JacobianBuilder, ResidualVector, StateSlice};
+use entropyk_components::{
+    Component, ComponentError, ConnectedPort, JacobianBuilder, ResidualVector, StateSlice,
+};
 use entropyk_solver::dof::SystemDofBalance;
 use entropyk_solver::system::System;
 use entropyk_solver::TopologyError;
@@ -76,7 +78,9 @@ fn overconstrained_finalize_fails() {
     sys.add_edge(a, b).unwrap();
     sys.add_edge(b, a).unwrap();
     // unknowns = 5, equations = 6
-    let err = sys.finalize().expect_err("must reject over-constrained system");
+    let err = sys
+        .finalize()
+        .expect_err("must reject over-constrained system");
     match err {
         TopologyError::DofImbalance { message } => {
             assert!(