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>

tool/flutter_ci_script_beta.sh

@@ -14,18 +14,17 @@ declare -ar PROJECT_NAMES=(
     "add_to_app/multiple_flutters/multiple_flutters_module"
     "add_to_app/plugin/flutter_module_using_plugin"
     "add_to_app/prebuilt_module/flutter_module"
+    "analysis_defaults"
     "android_splash_screen"
     "animations"
     "background_isolate_channels"
-    # TODO(DomesticMouse): Use 'const' with the constructor to improve performance.
-    # "code_sharing/client"
+    "code_sharing/client"
     "code_sharing/server"
     "code_sharing/shared"
-    # TODO(DomesticMouse): version solving failed
-    # "desktop_photo_search/fluent_ui"
+    "deeplink_store_example"
+    "desktop_photo_search/fluent_ui"
     "desktop_photo_search/material"
     "experimental/context_menus"
-    "experimental/element_embedding_demo"
     "experimental/federated_plugin/federated_plugin"
     "experimental/federated_plugin/federated_plugin/example"
     "experimental/federated_plugin/federated_plugin_macos"
@@ -33,9 +32,9 @@ declare -ar PROJECT_NAMES=(
     "experimental/federated_plugin/federated_plugin_web"
     "experimental/federated_plugin/federated_plugin_windows"
     "experimental/linting_tool"
-    # TODO(DomesticMouse): Use 'const' with the constructor to improve performance.
-    # "experimental/material_3_demo"
+    "experimental/material_3_demo"
     "experimental/pedometer"
+    "experimental/pedometer/example"
     "experimental/varfont_shader_puzzle"
     "experimental/web_dashboard"
     "flutter_maps_firestore"
@@ -46,23 +45,21 @@ declare -ar PROJECT_NAMES=(
     "ios_app_clip"
     "isolate_example"
     "jsonexample"
-    # TODO(DomesticMouse): Use 'const' with the constructor to improve performance.
-    # "material_3_demo"
+    "material_3_demo"
     "navigation_and_routing"
-    # TODO(DomesticMouse): Use 'const' with the constructor to improve performance.
-    # "place_tracker"
-    # TODO(DomesticMouse): 'setMockMethodCallHandler' is deprecated and shouldn't be used.
+    "place_tracker"
+    # TODO: https://github.com/flutter/samples/issues/1765
     # "platform_channels"
     "platform_design"
     "platform_view_swift"
     "provider_counter"
     "provider_shopper"
     "simple_shader"
-    # TODO(DomesticMouse): version solving failed
-    # "simplistic_calculator"
+    "simplistic_calculator"
     "simplistic_editor"
     "testing_app"
     "veggieseasons"
+    "web_embedding/element_embedding_demo"
     "web/_tool"
     "web/samples_index"
 )