Update for Flutter 3.10 beta (#1746)

## Pre-launch Checklist

- [x] I read the [Flutter Style Guide] _recently_, and have followed its
advice.
- [x] I signed the [CLA].
- [x] I read the [Contributors Guide].
- [x] I updated/added relevant documentation (doc comments with `///`).
- [ ] All existing and new tests are passing.

---------

Co-authored-by: David Iglesias <ditman@gmail.com>
Co-authored-by: Mark Thompson <2554588+MarkTechson@users.noreply.github.com>
Co-authored-by: John Ryan <ryjohn@google.com>

navigation_and_routing/lib/src/screens/books.dart

@@ -99,10 +99,8 @@ class _BooksScreenState extends State<BooksScreen>
     switch (_tabController.index) {
       case 1:
         _routeState.go('/books/new');
-        break;
       case 2:
         _routeState.go('/books/all');
-        break;
       case 0:
       default:
         _routeState.go('/books/popular');

navigation_and_routing/pubspec.yaml

@@ -4,7 +4,7 @@ publish_to: "none" # Remove this line if you wish to publish to pub.dev
 version: 1.0.0+1
 
 environment:
-  sdk: '>=2.19.5 <4.0.0'
+  sdk: ^3.0.0-0
 
 dependencies:
   adaptive_navigation: ^0.0.3