Add skip-lts-prepass input to optimize .NET SDK installation process (#791)

- Introduced `skip-lts-prepass` input to allow users to skip the LTS runtime pre-pass during installation.
- Updated documentation to explain the new input and its usage.
- Enhanced tests to verify the behavior of the `skip-lts-prepass` functionality.

Co-authored-by: chiranjib-swain <chiranjib-swain@github.com>

.github/workflows/e2e-tests.yml

@@ -769,3 +769,24 @@ jobs:
             throw "Expected 9.0.100 to be reused, got '${{ steps.reuse.outputs.dotnet-version }}'."
           }
           __tests__/verify-dotnet.ps1 -Patterns "^9\.0\.100$"
+
+  test-skip-lts-prepass:
+    runs-on: ${{ matrix.operating-system }}
+    strategy:
+      fail-fast: false
+      matrix:
+        operating-system: [ubuntu-latest, windows-latest]
+    steps:
+      - name: Checkout
+        uses: actions/checkout@3d3c42e5aac5ba805825da76410c181273ba90b1 # v7.0.1
+      - name: Clear toolcache
+        shell: pwsh
+        run: __tests__/clear-toolcache.ps1 ${{ runner.os }}
+      - name: Setup dotnet 9.0.308 with skip-lts-prepass
+        uses: ./
+        with:
+          dotnet-version: 9.0.308
+          skip-lts-prepass: true
+      - name: Verify dotnet
+        shell: pwsh
+        run: __tests__/verify-dotnet.ps1 -Patterns "^9\.0\.308$"