fix(ble): Prefer case-context pod when merging split BLE broadcasts

When both pods broadcast independently (one in case, one on desk), the pod inside the case carries authoritative case state via hasCaseContext bits. Previously, whichever address was processed last would overwrite the other, causing case state to flip-flop between OPEN and NOT_IN_CASE every scan cycle.

Two-layer fix: BlePodMonitor.processWithCache() now prefers the pod with case context when two scan results map to the same identity in one batch. ApplePodsFactory.getLatestCaseLidState() no longer treats NOT_IN_CASE as authoritative when recent history contains a broadcast with case context.

app/src/test/java/eu/darken/capod/pods/core/apple/ble/devices/DualApplePodsTest.kt

@@ -1,8 +1,10 @@
 package eu.darken.capod.pods.core.apple.ble.devices
 
 import eu.darken.capod.common.bluetooth.BleScanResult
+import eu.darken.capod.pods.core.apple.ble.BlePodSnapshot
 import eu.darken.capod.pods.core.apple.ble.devices.airpods.AirPodsPro
 import eu.darken.capod.pods.core.apple.ble.devices.airpods.HasStateDetectionAirPods
+import eu.darken.capod.pods.core.apple.ble.history.KnownDevice
 import eu.darken.capod.pods.core.apple.ble.protocol.ProximityPayload
 import io.kotest.matchers.shouldBe
 import kotlinx.coroutines.test.runTest
@@ -214,6 +216,8 @@ class DualApplePodsTest : BaseBlePodsTest() {
         }
     }
 
+    private fun directAirPodsPro(status: Int) = directAirPodsPro(status, 0x31)
+
     private fun directAirPodsPro(
         status: Int,
         rawCaseLidState: Int,
@@ -253,6 +257,64 @@ class DualApplePodsTest : BaseBlePodsTest() {
         directAirPodsPro(status = 0x20, rawCaseLidState = 0x5A).caseLidState shouldBe DualApplePods.LidState.NOT_IN_CASE
     }
 
+    private fun knownDeviceOf(vararg pods: AirPodsPro): KnownDevice {
+        val id = pods.first().identifier
+        return KnownDevice(
+            id = id,
+            seenFirstAt = pods.first().seenFirstAt,
+            seenCounter = pods.size,
+            history = pods.toList(),
+            lastCaseBattery = null,
+        )
+    }
+
+    private val testFactory = object : ApplePodsFactory {
+        override fun isResponsible(message: eu.darken.capod.pods.core.apple.ble.protocol.ProximityMessage) = false
+        override suspend fun create(
+            scanResult: BleScanResult,
+            payload: ProximityPayload,
+            meta: ApplePods.AppleMeta,
+        ): ApplePods = throw UnsupportedOperationException()
+    }
+
+    @Test
+    fun `getLatestCaseLidState - desk pod defers to case-context history`() {
+        val sharedId = BlePodSnapshot.Id()
+        // Pod in case: status=0x55 has bits 2,4,6 set → hasCaseContext=true, lid=OPEN
+        val casePod = directAirPodsPro(status = 0x55, rawCaseLidState = 0x31).copy(identifier = sharedId)
+        // Pod on desk: status=0x20 has no case bits → hasCaseContext=false → NOT_IN_CASE
+        val deskPod = directAirPodsPro(status = 0x20, rawCaseLidState = 0x31).copy(identifier = sharedId)
+
+        val known = knownDeviceOf(casePod, deskPod)
+        val result = with(testFactory) { known.getLatestCaseLidState(deskPod) }
+
+        result shouldBe DualApplePods.LidState.OPEN
+    }
+
+    @Test
+    fun `getLatestCaseLidState - case pod is authoritative`() {
+        val sharedId = BlePodSnapshot.Id()
+        val deskPod = directAirPodsPro(status = 0x20, rawCaseLidState = 0x31).copy(identifier = sharedId)
+        val casePod = directAirPodsPro(status = 0x55, rawCaseLidState = 0x39).copy(identifier = sharedId)
+
+        val known = knownDeviceOf(deskPod, casePod)
+        val result = with(testFactory) { known.getLatestCaseLidState(casePod) }
+
+        result shouldBe DualApplePods.LidState.CLOSED
+    }
+
+    @Test
+    fun `getLatestCaseLidState - no case context in history returns NOT_IN_CASE`() {
+        val sharedId = BlePodSnapshot.Id()
+        val deskPod1 = directAirPodsPro(status = 0x20, rawCaseLidState = 0x31).copy(identifier = sharedId)
+        val deskPod2 = directAirPodsPro(status = 0x20, rawCaseLidState = 0x31).copy(identifier = sharedId)
+
+        val known = knownDeviceOf(deskPod1, deskPod2)
+        val result = with(testFactory) { known.getLatestCaseLidState(deskPod2) }
+
+        result shouldBe DualApplePods.LidState.NOT_IN_CASE
+    }
+
     @Test
     fun `test AirPodDevice - connection state`() = runTest {
         // Disconnected