fix(physics): movement-parity fixes - adjusted catch-up cap, autorun retail semantics, AP-30 retired

Ports CMotionInterp::get_adjusted_max_speed (0x00527D00, byte-decoded:
bare rate unless RunForward; forward_speed x 4.0 when running;
current_speed_factor proven a ctor-constant 1.0 at 0x00528C34) and swaps
all five interpolation catch-up call sites to it - retail's
fUseAdjustedSpeed_ static (.data 0x0081F418 = 1) makes this the live
branch, so standing/walking remotes now catch up at ~2x runRate instead
of 4x too fast (the #41/#165 presentation family). Autorun now hard-
forces Run for its duration and cancels on every fresh forward press
(CommandInterpreter::HandleNewForwardMovement 0x006b3d60 is literally
SetAutoRun(0,1)); the old test pin codified the divergence. AP-30
retired: retail Frame::is_equal genuinely uses the 0.0002 epsilon - the
row recorded a non-divergence. Three catch-up test pins re-baselined to
retail semantics with citations. Full Release suite 9,983/0.

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

src/AcDream.Core/Physics/MotionInterpreter.cs

@@ -2617,16 +2617,13 @@ public sealed class MotionInterpreter : IMotionDoneSink
     /// </para>
     ///
     /// <para>
-    /// Consequence: the dead-reckoning catch-up speed
-    /// (<c>InterpolationManager::adjust_offset</c> 0x00555d30, pc:353122)
-    /// is <c>2 × get_max_speed()</c> ≈ 23.5 m/s for a run-rate-2.94
-    /// (run-skill-200) character — that IS retail's value. An earlier
-    /// doc-comment here claimed the bare rate (~5.9 m/s catch-up) was
-    /// retail-correct and blamed the ×4 for the multi-second 1-Hz blip on
-    /// observed retail remotes; that reading trusted the BN x87 dropout
-    /// and is refuted by the binary. If the blip recurs, its root cause is
-    /// elsewhere (node-fail handling / progress-quantum abandonment /
-    /// position-queue feed — the #41 family), NOT this multiply.
+    /// Consequence note SUPERSEDED 2026-07-30 (movement parity audit): the
+    /// dead-reckoning catch-up cap is <c>2 ×
+    /// <see cref="GetAdjustedMaxSpeed"/></c>, not 2 × this — the
+    /// <c>fUseAdjustedSpeed_</c> static defaults the 0x00555dbe branch to
+    /// the ADJUSTED accessor (bare rate unless actively RunForward). This
+    /// method remains retail-faithful for its other consumers; only the
+    /// catch-up-cap sites moved to the adjusted sibling below.
     /// </para>
     /// </summary>
     public float GetMaxSpeed()
@@ -2641,6 +2638,52 @@ public sealed class MotionInterpreter : IMotionDoneSink
         return RunAnimSpeed * rate;
     }
 
+    /// <summary>
+    /// Retail <c>CMotionInterp::get_adjusted_max_speed</c> (0x00527D00) — the
+    /// accessor <c>InterpolationManager</c>'s catch-up cap ACTUALLY uses,
+    /// because the static <c>InterpolationManager::fUseAdjustedSpeed_</c>
+    /// initializes to <c>0x1</c> (.data 0x0081F418, pseudo-C:1102675), making
+    /// the <c>get_max_speed</c> branch at 0x00555dbe dead by default.
+    ///
+    /// <para>
+    /// Byte decode of 0x00527D00 (movement parity audit + P-review,
+    /// 2026-07-30): compute rate = InqRunRate() / <see cref="MyRunRate"/> /
+    /// 1.0 fallback chain, then <c>cmp [this+0x4C], 0x44000007</c>
+    /// (RunForward) — NOT RunForward returns the BARE rate (no ×4);
+    /// RunForward DISCARDS the rate (<c>fstp st0</c>) and returns
+    /// <c>interpreted_state.forward_speed ÷ current_speed_factor ×
+    /// RunAnimSpeed(4.0)</c>. <c>current_speed_factor</c> (+0x6C) is written
+    /// exactly once in the entire binary — <c>CMotionInterp::Create</c>
+    /// (0x00528C34) stores <c>0x3F800000</c> = 1.0f — so the division is a
+    /// vestigial constant and is not ported as a field.
+    /// </para>
+    ///
+    /// <para>
+    /// Consequence: retail caps remote catch-up at <c>2 ×</c> THIS — a
+    /// standing/walking/turning remote catches up at ~2×runRate (≈5.9 m/s at
+    /// run-rate 2.94), not 2×<see cref="GetMaxSpeed"/> (≈23.5 m/s). The
+    /// former unconditional <see cref="GetMaxSpeed"/> at the catch-up sites
+    /// made non-running remotes reconverge ~4× faster than retail (the
+    /// #41/#165 presentation family).
+    /// </para>
+    /// </summary>
+    public float GetAdjustedMaxSpeed()
+    {
+        if (InterpretedState.ForwardCommand == MotionCommand.RunForward)
+        {
+            // 0x00527d31-0x00527d40: fstp st0 (discard rate); fld forward_speed;
+            // fdiv current_speed_factor (ctor-constant 1.0); fmul 4.0.
+            return InterpretedState.ForwardSpeed * RunAnimSpeed;
+        }
+
+        // Not RunForward: the bare rate — NO RunAnimSpeed multiply
+        // (0x00527d2a jnz falls straight to ret with rate in st0).
+        float rate = 1.0f;
+        if (WeenieObj is not null && !WeenieObj.InqRunRate(out rate))
+            rate = MyRunRate;
+        return rate;
+    }
+
     // R3-W5: the former `ApplyMotionToInterpretedState` private helper
     // (a hand-rolled switch approximating InterpretedMotionState.ApplyMotion)
     // is DELETED per the plan (closes J3/J4) — the merged DoInterpretedMotion