Add configurable baud rate for Adalight with dynamic FPS hint

Baud rate is now a first-class device field, passed through the full
stack: Device model → API schemas → routes → ProcessorManager →
AdalightClient. The frontend shows a baud rate dropdown (115200–2M)
for Adalight devices in both Add Device and Settings modals, with a
live "Max FPS ≈ N" hint computed from LED count and baud rate.

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

server/src/wled_controller/api/routes/devices.py

@@ -49,6 +49,7 @@ def _device_to_response(device) -> DeviceResponse:
         device_type=device.device_type,
         led_count=device.led_count,
         enabled=device.enabled,
+        baud_rate=device.baud_rate,
         capabilities=sorted(get_device_capabilities(device.device_type)),
         calibration=CalibrationSchema(**calibration_to_dict(device.calibration)),
         created_at=device.created_at,
@@ -115,6 +116,7 @@ async def create_device(
             url=device_data.url,
             led_count=led_count,
             device_type=device_type,
+            baud_rate=device_data.baud_rate,
         )
 
         # Register in processor manager for health monitoring
@@ -124,6 +126,7 @@ async def create_device(
             led_count=device.led_count,
             calibration=device.calibration,
             device_type=device.device_type,
+            baud_rate=device.baud_rate,
         )
 
         return _device_to_response(device)
@@ -229,6 +232,7 @@ async def update_device(
             url=update_data.url,
             enabled=update_data.enabled,
             led_count=update_data.led_count,
+            baud_rate=update_data.baud_rate,
         )
 
         # Sync connection info in processor manager
@@ -237,6 +241,7 @@ async def update_device(
                 device_id,
                 device_url=update_data.url,
                 led_count=update_data.led_count,
+                baud_rate=update_data.baud_rate,
             )
         except ValueError:
             pass