Tweak behavior on Browse screen (#8121)

* Tweak behavior on Browse screen

- Fix system back popping controller
- Add behavior to system back to cancel search toolbar before clearing current search or popping controller

* Review changes

app/src/main/java/eu/kanade/tachiyomi/ui/recent/updates/UpdatesController.kt

@@ -1,6 +1,5 @@
 package eu.kanade.tachiyomi.ui.recent.updates
 
-import androidx.activity.OnBackPressedDispatcherOwner
 import androidx.compose.runtime.Composable
 import androidx.compose.runtime.LaunchedEffect
 import eu.kanade.presentation.updates.UpdateScreen
@@ -36,15 +35,4 @@ class UpdatesController :
             }
         }
     }
-
-    // Let Compose view handle this
-    override fun handleBack(): Boolean {
-        val dispatcher = (activity as? OnBackPressedDispatcherOwner)?.onBackPressedDispatcher ?: return false
-        return if (dispatcher.hasEnabledCallbacks()) {
-            dispatcher.onBackPressed()
-            true
-        } else {
-            false
-        }
-    }
 }