For #8968: Hide keyboard when navigating away from browser

app/src/main/java/org/mozilla/fenix/browser/BaseBrowserFragment.kt

@@ -56,6 +56,7 @@ import mozilla.components.support.base.feature.PermissionsFeature
 import mozilla.components.support.base.feature.UserInteractionHandler
 import mozilla.components.support.base.feature.ViewBoundFeatureWrapper
 import mozilla.components.support.ktx.android.view.exitImmersiveModeIfNeeded
+import mozilla.components.support.ktx.android.view.hideKeyboard
 import org.mozilla.fenix.FeatureFlags
 import org.mozilla.fenix.HomeActivity
 import org.mozilla.fenix.IntentReceiverActivity
@@ -553,6 +554,9 @@ abstract class BaseBrowserFragment : Fragment(), UserInteractionHandler, Session
     @CallSuper
     final override fun onPause() {
         super.onPause()
+        if (findNavController().currentDestination?.id != R.id.searchFragment) {
+            view?.hideKeyboard()
+        }
         fullScreenFeature.onBackPressed()
     }