Optimize CI/CD pipeline and enhance multiplayer functionality

[newtomsoft]

### Description

This pull request introduces changes that address several key areas, including:

- **CI/CD Enhancements**:  
  - Added caching for NuGet packages and Playwright browsers to reduce pipeline runtime.
  - Improved Dockerfile for optimized source copying.
  - Updated CI configuration to have separate build and test jobs, leveraging QEMU for multi-platform Docker builds.
  - Updated CI/CD configurations to use the `main` branch instead of the `Production` branch.
  - Added support for .NET 10.0 with build, test, and Docker pipeline steps.

- **Features**:  
  - Introduced a multiplayer game feature, adding new functionality for creating and joining Dobble games with valid pseudonyms.
  - Refactored game lobby UI and improved error handling during game creation and joining.

- **Fixes and Refactoring**:  
  - Simplified GameController constructor for improved code readability.
  - Resolved issues with Docker publishing by switching to `TargetFramework`.

### Checklist

- [ ] Code changes have been reviewed
- [ ] Tests have been updated or added where necessary
- [ ] Documentation has been updated if applicable
- [ ] All CI checks have passed