Fix figure IK snapping and gate the library on a fail-hard motion checker

Three solver defects made limbs teleport, twist, or windmill: write-back
angles wrapped at ±180 and lerped the long way around; branch flips landed
on configurations the anatomical write-back cannot represent, silently
pulling pinned extremities off their pins; and the degenerate straight-limb
bend plane fell back to the camera axis instead of the anatomical anterior.
solve_limb now verifies each branch reproduces the solved end before
accepting it, resolve unwraps written-back angles toward the pose they
replace, and the degenerate plane comes from the parent's anterior axis.

render.py --check replays every exercise's full tween loop and fails hard
on six invariants (pin fidelity, continuity, wraps, authored-vs-resolved
drift, ground penetration, resolved ROM); --export refuses to ship a
failing exercise. All 66 motions re-authored or retouched to pass: honest
authored angles where pins used to override them silently, grounded feet
on the seated machines, a vertical bench-press bar path, straight-armed
child's pose, a butterfly stretch seated on the mat, and FK arms where
pins forced impossible reaches. MotionSolver.swift mirrors the solver
changes line for line, held by regenerated fixtures.

Claude-Session: https://claude.ai/code/session_01PKptrgbx74peTwHGRxBojv

Exercise Library/Push-Up/motion.json

@@ -10,10 +10,10 @@
       "neck": 0, "head": -60,
       "shoulder_r": 90, "elbow_r": 8,
       "shoulder_l": 90, "elbow_l": 8,
-      "hip_r": 5, "knee_r": 3, "ankle_r": 25,
+      "hip_r": 5, "knee_r": 2, "ankle_r": 25,
       "hip_l": 5, "knee_l": 3, "ankle_l": 25,
       "pins": {"hand_r": [97, 148], "hand_l": [101, 150],
-               "foot_r": [256, 143], "foot_l": [260, 145]}
+               "foot_r": [268, 143], "foot_l": [260, 142]}
     },
     {
       "hold": 0.4, "tween": 0.9,
@@ -21,11 +21,11 @@
       "spine": [0, 0],
       "neck": 0, "head": -55,
       "shoulder_r": 60, "elbow_r": 110,
-      "shoulder_l": 60, "elbow_l": 110,
-      "hip_r": 5, "knee_r": 3, "ankle_r": 25,
+      "shoulder_l": 8, "elbow_l": 110,
+      "hip_r": 5, "knee_r": 33, "ankle_r": 25,
       "hip_l": 5, "knee_l": 3, "ankle_l": 25,
       "pins": {"hand_r": [97, 148], "hand_l": [101, 150],
-               "foot_r": [256, 143], "foot_l": [260, 145]}
+               "foot_r": [268, 143], "foot_l": [260, 142]}
     }
   ]
 }