feat(processed-audio-sources): phase 4 - runtime filter integration

Add AudioFilterPipeline for chained filter execution on AudioAnalysis.
Wire filter pipelines into AudioColorStripStream, AudioValueStream,
and WebSocket test endpoint. Add hot-update support via
ProcessorManager.refresh_audio_filter_pipelines(). Thread
AudioProcessingTemplateStore through dependency injection hierarchy.

server/src/wled_controller/main.py

@@ -128,6 +128,7 @@ processor_manager = ProcessorManager(
         asset_store=asset_store,
         ha_manager=ha_manager,
         game_event_bus=game_event_bus,
+        audio_processing_template_store=audio_processing_template_store,
     )
 )