RNW CLI projectConfig and autolink tests only test the old architecture templates

Problem Description

In @react-native-windows/cli we have tests for autolinking (i.e. react-native autolink-windows) and project config (i.e. react-native config`) that create test projects to verify functionality.

The code explicitly uses a custom project creation that uses the "old" templating system and thereby does not test new architecture projects.

Steps To Reproduce

1. Open packages/@react-native-windows/cli
2. Run yarn test

Expected Results

Tests use new architecture templates to ensure that they work properly.

CLI version

15.0.0-alpha.2

Environment

info Fetching system and libraries information...
System:
  OS: Windows 11 10.0.26400
  CPU: (20) x64 13th Gen Intel(R) Core(TM) i7-13800H
  Memory: 16.00 GB / 31.83 GB
Binaries:
  Node:
    version: 18.18.0
    path: C:\Program Files\nodejs\node.EXE
  Yarn:
    version: 1.22.22
    path: C:\Program Files (x86)\Yarn\bin\yarn.CMD
  npm:
    version: 9.8.1
    path: C:\Program Files\nodejs\npm.CMD
  Watchman: Not Found
SDKs:
  Android SDK: Not Found
  Windows SDK:
    AllowDevelopmentWithoutDevLicense: Enabled
    AllowAllTrustedApps: Enabled
    Versions:
      - 10.0.19041.0
      - 10.0.22000.0
      - 10.0.22621.0
IDEs:
  Android Studio: Not Found
  Visual Studio:
    - 17.13.35931.197 (Visual Studio Enterprise 2022)
Languages:
  Java: Not Found
  Ruby: Not Found
npmPackages:
  "@react-native-community/cli": Not Found
  react: Not Found
  react-native: Not Found
  react-native-windows: Not Found
npmGlobalPackages:
  "*react-native*": Not Found
Android:
  hermesEnabled: Not found
  newArchEnabled: Not found
iOS:
  hermesEnabled: Not found
  newArchEnabled: Not found

Community Modules

No response

Target Platform Version

None

Target Device(s)

No response

Visual Studio Version

None

Build Configuration

None

Snack, code example, screenshot, or link to a repository

No response