feat(troubleshooter): Persist only the minimal working compat combo

Probe compatibility options through a transient in-memory override on BlePodMonitor instead of writing the user's persisted settings on every attempt. Only the winning combo is persisted, and only on success; failure or cancellation clears the override, restoring the user's original settings. Combos are tried fewest-disables-first so a phone that only needs batching disabled isn't left with filtering disabled too. Per-attempt cache clearing plus a freshness cutoff stop a previous combo's cached devices from satisfying the next one, and the 'found' checks now require a fresh live BLE observation rather than cached/AAP state.

app/src/test/java/eu/darken/capod/troubleshooter/ui/TroubleShooterViewModelTest.kt

@@ -0,0 +1,46 @@
+package eu.darken.capod.troubleshooter.ui
+
+import eu.darken.capod.monitor.core.ble.BlePodMonitor
+import io.kotest.matchers.collections.shouldHaveSize
+import io.kotest.matchers.comparables.shouldBeLessThan
+import io.kotest.matchers.shouldBe
+import org.junit.jupiter.api.Test
+import testhelpers.BaseTest
+
+class TroubleShooterViewModelTest : BaseTest() {
+
+    private fun BlePodMonitor.CompatOverride.disabledCount() =
+        listOf(offloadedFilteringDisabled, offloadedBatchingDisabled, indirectCallback).count { it }
+
+    @Test
+    fun `compat combos cover every combination exactly once`() {
+        val combos = TroubleShooterViewModel.COMPAT_COMBOS
+        combos shouldHaveSize 8
+        combos.toSet() shouldHaveSize 8
+    }
+
+    @Test
+    fun `compat combos start with the no-override baseline`() {
+        TroubleShooterViewModel.COMPAT_COMBOS.first() shouldBe
+            BlePodMonitor.CompatOverride(false, false, false)
+    }
+
+    @Test
+    fun `compat combos are ordered fewest-disables-first`() {
+        val counts = TroubleShooterViewModel.COMPAT_COMBOS.map { it.disabledCount() }
+        counts shouldBe counts.sorted()
+    }
+
+    @Test
+    fun `batching-only is probed before any combo that also disables filtering`() {
+        // The #603 fix: a phone that only needs batching disabled must land on the minimal combo,
+        // not on "all off", so we don't needlessly disable hardware filtering too.
+        val combos = TroubleShooterViewModel.COMPAT_COMBOS
+        val batchingOnly = combos.indexOf(BlePodMonitor.CompatOverride(false, true, false))
+        val filteringAndBatching = combos.indexOf(BlePodMonitor.CompatOverride(true, true, false))
+        val everything = combos.indexOf(BlePodMonitor.CompatOverride(true, true, true))
+
+        batchingOnly shouldBeLessThan filteringAndBatching
+        batchingOnly shouldBeLessThan everything
+    }
+}