fix(profiles): connection-profile switch re-dials the WebSocket (#888)

Co-authored-by: M57 <hy4ri@users.noreply.github.com>

app/src/test/java/com/m57/hermescontrol/data/local/AuthManagerTest.kt

@@ -141,6 +141,32 @@ class AuthManagerTest {
         assertEquals(9090, AuthManager.getPort())
     }
 
+    @Test
+    fun testSetSelectedProfileId_refreshesBaseUrlFlow() {
+        AuthManager.ensureDefaultProfile()
+        AuthManager.setBaseUrl("http://10.0.0.1:9119/")
+        AuthManager.saveConnectionProfiles(
+            listOf(
+                ConnectionProfile(
+                    id = AuthManager.DEFAULT_PROFILE_ID,
+                    name = "Default",
+                    baseUrl = "http://10.0.0.1:9119/",
+                ),
+                ConnectionProfile(
+                    id = "prof-2",
+                    name = "Home",
+                    baseUrl = "http://10.0.0.2:9220/",
+                ),
+            ),
+        )
+
+        AuthManager.setSelectedProfileId("prof-2")
+
+        // contextFlow consumers must see the NEW server's URL after a
+        // connection-profile switch, not the previous one (split-brain fix).
+        assertEquals("http://10.0.0.2:9220/", AuthManager.baseUrlFlow.value)
+    }
+
     @Test
     fun testGetAndSetAutoReconnect() {
         AuthManager.setAutoReconnect(false)