refactor(api): complete fastapi migration and related features

Finish native FastAPI controllers, drop vendored microdot, and add
Wi-Fi driver runtime, beat SSE, simulated BPM, sequence playback
improvements, bridge ESP-NOW sources, UI updates, and tests.

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

tests/beat_detect.py

@@ -115,14 +115,36 @@ def parse_args() -> argparse.Namespace:
     return parser.parse_args()
 
 
+def _clamp_detected_bpm(bpm: float | None) -> float | None:
+    if bpm is None:
+        return None
+    try:
+        from util.bpm_limits import clamp_bpm_optional
+
+        return clamp_bpm_optional(bpm)
+    except ImportError:
+        v = float(bpm)
+        if v <= 0:
+            return None
+        return max(60.0, min(200.0, v))
+
+
 def _estimate_bpm(beat_times: Deque[float]) -> float | None:
     if len(beat_times) < 3:
         return None
+    try:
+        from util.bpm_limits import max_beat_interval_s, min_beat_interval_s
+
+        ioi_min = min_beat_interval_s()
+        ioi_max = max_beat_interval_s()
+    except ImportError:
+        ioi_min = 0.3
+        ioi_max = 1.0
     intervals = np.diff(np.array(beat_times, dtype=np.float64))
-    valid = intervals[(intervals > 0.2) & (intervals < 2.0)]
+    valid = intervals[(intervals >= ioi_min) & (intervals <= ioi_max)]
     if valid.size == 0:
         return None
-    return 60.0 / float(np.median(valid))
+    return _clamp_detected_bpm(60.0 / float(np.median(valid)))
 
 
 def _is_plausible_ioi(
@@ -131,7 +153,7 @@ def _is_plausible_ioi(
     now_s: float,
     *,
     min_ratio: float = 0.42,
-    max_ratio: float = 2.5,
+    max_ratio: float = 3.5,
 ) -> bool:
     """Reject double-time / half-time false triggers vs recent median interval."""
     if last_trigger_s <= 0 or len(beat_times) < 2:
@@ -251,7 +273,7 @@ def _resolve_bpm(
 ) -> float | None:
     estimated = _estimate_bpm(beat_times)
     if estimated is None:
-        return aubio_bpm
+        return _clamp_detected_bpm(aubio_bpm)
     if aubio_bpm is None or aubio_bpm <= 0:
         return estimated
     ratio = float(aubio_bpm) / estimated
@@ -400,7 +422,7 @@ class BeatDetectRuntime:
         if self.tempo is not None:
             aubio_hit = bool(self.tempo(f32)[0])
             val = float(self.tempo.get_bpm())
-            aubio_bpm = val if val > 0 else None
+            aubio_bpm = _clamp_detected_bpm(val if val > 0 else None)
 
         if now_s is None:
             now_s = time.time()