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/storage/device_store.py

@@ -32,6 +32,7 @@ class Device:
         led_count: int,
         enabled: bool = True,
         device_type: str = "wled",
+        baud_rate: Optional[int] = None,
         calibration: Optional[CalibrationConfig] = None,
         created_at: Optional[datetime] = None,
         updated_at: Optional[datetime] = None,
@@ -42,13 +43,14 @@ class Device:
         self.led_count = led_count
         self.enabled = enabled
         self.device_type = device_type
+        self.baud_rate = baud_rate
         self.calibration = calibration or create_default_calibration(led_count)
         self.created_at = created_at or datetime.utcnow()
         self.updated_at = updated_at or datetime.utcnow()
 
     def to_dict(self) -> dict:
         """Convert device to dictionary."""
-        return {
+        d = {
             "id": self.id,
             "name": self.name,
             "url": self.url,
@@ -59,6 +61,9 @@ class Device:
             "created_at": self.created_at.isoformat(),
             "updated_at": self.updated_at.isoformat(),
         }
+        if self.baud_rate is not None:
+            d["baud_rate"] = self.baud_rate
+        return d
 
     @classmethod
     def from_dict(cls, data: dict) -> "Device":
@@ -81,6 +86,7 @@ class Device:
             led_count=data["led_count"],
             enabled=data.get("enabled", True),
             device_type=data.get("device_type", "wled"),
+            baud_rate=data.get("baud_rate"),
             calibration=calibration,
             created_at=datetime.fromisoformat(data.get("created_at", datetime.utcnow().isoformat())),
             updated_at=datetime.fromisoformat(data.get("updated_at", datetime.utcnow().isoformat())),
@@ -165,6 +171,7 @@ class DeviceStore:
         url: str,
         led_count: int,
         device_type: str = "wled",
+        baud_rate: Optional[int] = None,
         calibration: Optional[CalibrationConfig] = None,
     ) -> Device:
         """Create a new device."""
@@ -176,6 +183,7 @@ class DeviceStore:
             url=url,
             led_count=led_count,
             device_type=device_type,
+            baud_rate=baud_rate,
             calibration=calibration,
         )
 
@@ -200,6 +208,7 @@ class DeviceStore:
         url: Optional[str] = None,
         led_count: Optional[int] = None,
         enabled: Optional[bool] = None,
+        baud_rate: Optional[int] = None,
         calibration: Optional[CalibrationConfig] = None,
     ) -> Device:
         """Update device."""
@@ -216,6 +225,8 @@ class DeviceStore:
             device.calibration = create_default_calibration(led_count)
         if enabled is not None:
             device.enabled = enabled
+        if baud_rate is not None:
+            device.baud_rate = baud_rate
         if calibration is not None:
             if calibration.get_total_leds() != device.led_count:
                 raise ValueError(