BT410 5.3.110: the gyroscope lives -- the cockpit's springs, the hit bounce, and the crunch, all wired

The feel wave's cornerstone, transcribed from the task-#56 byte-exact donor
per the GYRO.NOTES.md plan:

  THE SPRINGS.  IntegrateEyeJoint (@004b2ec0): the eye TRANSLATION spring
  whose equilibrium (posSpring+negSpring)/2 IS the authentic steady eye
  offset, with the byte-verified quirks intact -- the damping step
  OVERWRITES the force accumulator (it carries last frame's damping and
  the damage impulses by design) and the position step has NO dt.
  IntegrateBody (@004b30ec): the body ROTATION spring, X/Z-crossed on the
  spring force and crossed AGAIN on the orientation step.

  THE SIM (@004b275c): chain the power watch (5.3.109's mirrors), slew the
  sway angle between the powered and impaired percentages -- impaired reads
  the gyro's OWN mirrored alarms: watchdog != Ready or heat == Failure --
  band-clamp, run both integrators.  The Performance ends there.

  THE JOINT WRITES (@004b33e0/@004b34ec) live where the binary calls them:
  the MECH master-perf tail after the gait pass, death-gated -- the idle
  sway onto the EyeJoint, and TRANSLATION <- eyePosition + ROTATION <-
  bodyOrientation onto 'jointeye', the BallTranslation joint the cockpit
  eyepoint rides.  Every write QuantiseEps-gated.

  THE HIT BOUNCE (@004b2980): every non-collision hit shakes the cockpit.
  Direction from the damage force (random horizontal when ~zero), rotated
  into the yaw-only torso frame, per-type priced amount/multiplier*response
  (Explosive alone reads burstCount), clamped 1.3 UPPER only, then the four
  kicks -- impulse, torque (which zeroes .y and negates itself), the fixed
  up-axis vibration, and the vertical mirror.  Fed from the damage hub's
  step 1, BEFORE zone resolution -- an invalid-zone hit still shakes you.

  THE CRUNCH: driving through a crushable prop now kicks the gyro (torque
  0.4 along the contact normal, upward impulse 0.2) -- the 5.3.102 staged
  site, closed.

Resource: the five DamageResponse quads {trans,pitchRoll,yaw,vibration}
appended after the multipliers (record 0x21C, binary-verified layout) --
they were always in the stream; we simply never read them.  The ctor now
zeroes every accumulator (the donor's history records a NaN poison from
exactly that omission), copies the clamp pairs (body doubled), self-points
externalPitchPtr at spare0 until a torso binds it, and REGISTERS the
Performance on the master -- it ticks live, no fault.

Stub census: 19 across 13 files.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>

restoration/source410/BT/MECH.CPP

@@ -1078,12 +1078,13 @@ void
 	Check(this);
 	Check(message);
 
-	if (gyroSubsystem != NULL && getenv("BT_MECH_LOG"))
+	//
+	// The RAW record feeds the gyro FIRST -- even an invalid-zone hit shakes
+	// the cockpit (binary hub order step 1).
+	//
+	if (gyroSubsystem != NULL)
 	{
-		DEBUG_STREAM << "[gyro] hit feed staged (type="
-			<< (int)message->damageData.damageType
-			<< " amt=" << message->damageData.damageAmount << ")"
-			<< endl << flush;
+		((Gyroscope *)gyroSubsystem)->ApplyDamageResponse(message->damageData);
 	}
 
 	lastInflictingID     = message->inflictingEntity;
@@ -1613,6 +1614,19 @@ void
 		AdvanceLegAnimation(time_slice);
 	}
 
+	//
+	// The gyro's joint writes (binary master-perf tail @0x4aaf74/83, AFTER
+	// the animation pass): the idle sway onto the EyeJoint, and the
+	// integrated eye offset + body tip onto 'jointeye' -- the joint the
+	// cockpit eyepoint rides.  Gated off during the death clips exactly as
+	// the tail is.
+	//
+	if (gyroSubsystem != NULL && MovementMode() < 5)
+	{
+		((Gyroscope *)gyroSubsystem)->WriteEyeJoint();
+		((Gyroscope *)gyroSubsystem)->WriteMechJoint();
+	}
+
 	//
 	// THE TURN-IN-PLACE DISPATCHER (master perf @0x4aa505-0x4aa588, decoded
 	// from raw disasm -- Ghidra never decompiled the function).  From
@@ -2009,6 +2023,23 @@ void
 			localOrigin.linearPosition = post_snap_position;
 			localToWorld = localOrigin;
 			MoveCollisionVolume();
+
+			//
+			// The gyro CRUNCH (binary @4aa7ce-4aa871): torque 0.4 along the
+			// normalized contact force, upward impulse 0.2.  The Normalize
+			// is unguarded in the binary too.
+			//
+			if (gyroSubsystem != NULL)
+			{
+				Vector3D
+					crunch_normal;
+				crunch_normal.Normalize(collision_damage.damageForce);
+				((Gyroscope *)gyroSubsystem)->ApplyDamageTorque(
+					crunch_normal.x, crunch_normal.y, crunch_normal.z, 0.4f);
+				((Gyroscope *)gyroSubsystem)->ApplyDamageImpulse(
+					0.0f, 1.0f, 0.0f, 0.2f);
+			}
+
 			collision_damage.damageAmount = 0.0f;
 
 			if (getenv("BT_MECH_LOG"))