WGC capture fixes + high-resolution timer pacing for all loops

- Fix WGC capture_frame() returning stale frames (80k "frames" in 2s)
  by tracking new-frame events; return None when no new frame arrived
- Add draw_border config passthrough with Win11 22H2+ platform check
- Add high_resolution_timer() utility (timeBeginPeriod/EndPeriod)
- Switch all processing loops from time.time() to time.perf_counter()
- Wrap all loops with high_resolution_timer() for ~1ms sleep precision
- Add animation speed badges to static/gradient color strip cards

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

server/src/wled_controller/utils/__init__.py

@@ -2,5 +2,6 @@
 
 from .logger import setup_logging, get_logger
 from .monitor_names import get_monitor_names, get_monitor_name, get_monitor_refresh_rates
+from .timer import high_resolution_timer
 
-__all__ = ["setup_logging", "get_logger", "get_monitor_names", "get_monitor_name", "get_monitor_refresh_rates"]
+__all__ = ["setup_logging", "get_logger", "get_monitor_names", "get_monitor_name", "get_monitor_refresh_rates", "high_resolution_timer"]

server/src/wled_controller/utils/timer.py

@@ -0,0 +1,34 @@
+"""High-resolution timer utilities for precise sleep on Windows.
+
+Windows default timer resolution is ~15.6ms, making time.sleep() very
+imprecise for real-time loops (e.g. 60fps needs 16.67ms per frame).
+
+Calling timeBeginPeriod(1) increases system timer resolution to 1ms,
+making time.sleep() accurate to ~1ms.  The calls are reference-counted
+by Windows — each timeBeginPeriod must be paired with timeEndPeriod.
+"""
+
+import sys
+from contextlib import contextmanager
+
+
+@contextmanager
+def high_resolution_timer():
+    """Context manager that enables 1ms timer resolution on Windows.
+
+    Usage::
+
+        with high_resolution_timer():
+            while running:
+                ...
+                time.sleep(remaining)  # now accurate to ~1ms
+    """
+    if sys.platform == "win32":
+        import ctypes
+        ctypes.windll.winmm.timeBeginPeriod(1)
+    try:
+        yield
+    finally:
+        if sys.platform == "win32":
+            import ctypes
+            ctypes.windll.winmm.timeEndPeriod(1)