CI maintenance (#1913)

## 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 `///`).
- [x] All existing and new tests are passing.

If you need help, consider asking for advice on the #hackers-devrel
channel on [Discord].

<!-- Links -->
[Flutter Style Guide]:
https://github.com/flutter/flutter/wiki/Style-guide-for-Flutter-repo
[CLA]: https://cla.developers.google.com/
[Discord]: https://github.com/flutter/flutter/wiki/Chat
[Contributors Guide]:
https://github.com/flutter/samples/blob/main/CONTRIBUTING.md

tool/flutter_ci_script_beta.sh

@@ -22,7 +22,7 @@ declare -ar PROJECT_NAMES=(
     "code_sharing/server"
     "code_sharing/shared"
     "deeplink_store_example"
-    # TODO(DomesticMouse): pkg:fluent_ui requires Dart =< 3.0.0
+    # TODO(DomesticMouse): Dependency 'fluent_ui' fails to compile. https://github.com/bdlukaa/fluent_ui/issues/865
     # "desktop_photo_search/fluent_ui"
     "desktop_photo_search/material"
     # TODO(DomesticMouse): The function can't be unconditionally invoked because it can be 'null'.
@@ -61,7 +61,7 @@ declare -ar PROJECT_NAMES=(
     "provider_counter"
     "provider_shopper"
     "simple_shader"
-    # TODO(DomesticMouse): pkg:fluent_ui requires Dart =< 3.0.0
+    # TODO(DomesticMouse): Dependency 'flutter_layout_grid' fails to compile. https://github.com/shyndman/flutter_layout_grid/issues/91
     # "simplistic_calculator"
     "simplistic_editor"
     "testing_app"

tool/flutter_ci_script_master.sh

@@ -53,8 +53,7 @@ declare -ar PROJECT_NAMES=(
     "material_3_demo"
     # TODO(DomesticMouse): The '!' will have no effect because the receiver can't be null.
     # "navigation_and_routing"
-    # TODO(DomesticMouse): Dependency 'gap-3.0.0' fails to compile. https://github.com/letsar/gap/issues/16
+    "next_gen_ui_demo"
-    # "next_gen_ui_demo"
     "place_tracker"
     "platform_channels"
     "platform_design"