Add model embeddings for Z-factor DoF, separate from SaturatedController.

Fixed/Free Probe calibration now emits embeddings[] (unknown + equation) instead of controls[], keeping SaturatedController for physical regulation only.

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

crates/cli/tests/probe_calibration.rs

@@ -1,12 +1,6 @@
 //! Calibration redesign (HARD RULE — Probe for ALL measurements) — integration
-//! test: a `Probe` node measuring SDT on the condenser refrigerant inlet edge
-//! drives the plain inverse embedding for `z_ua`. The Probe is the measurement
-//! source (`control.measure.component` names the Probe); the freed z-factor
-//! lives on the BPHX condenser (`control.actuator.component`). The two are
-//! linked 1:1 (+1 residual on Probe SDT target, +1 unknown z_ua).
-//!
-//! This is the Probe-based variant of `calibration_sdt.rs`. It proves the
-//! end-to-end path the UI emits after the calibration redesign.
+//! test: a `Probe` measuring SDT + free `cond/z_ua` via model `embeddings[]`
+//! (Modelica unknown + equation — not SaturatedController / controls[]).
 
 use entropyk_cli::run::{run_simulation, SimulationResult, SimulationStatus};
 use tempfile::tempdir;
@@ -139,22 +133,21 @@ fn probe_based_sdt_calibration_converges_and_solves_z_ua() {
     "tolerance": 1e-06,
     "timeout_ms": 60000
   },
-  "controls": [
+  "embeddings": [
     {
-      "type": "SaturatedController",
-      "id": "probe_sdt_calib",
-      "measure": {
-        "component": "cond_sdt_probe",
-        "output": "saturationTemperature"
-      },
-      "actuator": {
+      "id": "emb_cond_z_ua",
+      "unknown": {
         "component": "cond",
         "factor": "z_ua",
-        "initial": 0.3,
+        "start": 0.3,
         "min": 0.05,
         "max": 2.0
       },
-      "target": 315.0
+      "equation": {
+        "component": "cond_sdt_probe",
+        "output": "saturationTemperature",
+        "value": 315.0
+      }
     }
   ]
 }
@@ -185,6 +178,22 @@ fn probe_based_sdt_calibration_converges_and_solves_z_ua() {
             }
         }
     }
+    let mut sdt_c = None;
+    if let Some(state) = result.state.as_ref() {
+        for e in state.iter() {
+            if e.target.as_deref() == Some("cond") || e.source.as_deref() == Some("cond_sdt_probe")
+            {
+                if let Some(ts) = e.saturation_temperature_c {
+                    sdt_c = Some(ts);
+                }
+            }
+        }
+    }
+    let sdt_k = sdt_c.expect("must read SDT near condenser inlet probe") + 273.15;
+    assert!(
+        (sdt_k - 315.0).abs() < 0.5,
+        "SDT must hit target 315.0 K within 0.5 K, got {sdt_k}"
+    );
     assert!(
         solved.value > 0.05 && solved.value < 2.0,
         "z_ua must solve within bounds, got {}",