New project settings not immediately changed #3746

Describe the bug
When creating a new project via the VS Code Flutter dialogue, changes to project settings are not immediately reflected.

To Reproduce
Steps to reproduce the behavior:

1. Open the "Flutter: New Project" dialogue
2. Select "Application"
3. Select any folder
4. Click the Settings icon on the top right of the dialogue
5. Select the "Organization Name" option (or anything else)
6. Enter a new organization name, then press enter
7. Notice that the organization name is NOT modified

Expected behavior
Changes to project settings when creating a new project should be immediately reflected

Versions (please complete the following information):

• VS Code version: 1.63.2
• Dart extension version: 3.29.0
• Dart/Flutter SDK version: 2.8.1