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>

animations/android/app/src/debug/AndroidManifest.xml

@@ -1,5 +1,4 @@
-<manifest xmlns:android="http://schemas.android.com/apk/res/android"
-    package="dev.flutter.animations">
+<manifest xmlns:android="http://schemas.android.com/apk/res/android">
     <!-- The INTERNET permission is required for development. Specifically,
          the Flutter tool needs it to communicate with the running application
          to allow setting breakpoints, to provide hot reload, etc.

animations/android/app/src/main/AndroidManifest.xml

@@ -1,5 +1,4 @@
-<manifest xmlns:android="http://schemas.android.com/apk/res/android"
-    package="dev.flutter.animations">
+<manifest xmlns:android="http://schemas.android.com/apk/res/android">
     <application
         android:label="animations"
         android:name="${applicationName}"

animations/android/app/src/profile/AndroidManifest.xml

@@ -1,5 +1,4 @@
-<manifest xmlns:android="http://schemas.android.com/apk/res/android"
-    package="dev.flutter.animations">
+<manifest xmlns:android="http://schemas.android.com/apk/res/android">
     <!-- The INTERNET permission is required for development. Specifically,
          the Flutter tool needs it to communicate with the running application
          to allow setting breakpoints, to provide hot reload, etc.