Add Vulkan Build Checks

Author: TRBlount

.github/workflows/test-pull_request.yaml

@@ -20,6 +20,12 @@ jobs:
           - configuration: Release
             compiler: gcc-13
             cmake_options: -DFSO_BUILD_WITH_OPENGL=OFF -DFSO_BUILD_WITH_VULKAN=OFF
+          - configuration: Debug
+            compiler: gcc-13
+            cmake_options: -DFSO_BUILD_WITH_OPENGL=OFF -DFSO_BUILD_WITH_VULKAN=ON
+          - configuration: Release
+            compiler: gcc-13
+            cmake_options: -DFSO_BUILD_WITH_OPENGL=OFF -DFSO_BUILD_WITH_VULKAN=ON
     name: Linux
     runs-on: ubuntu-latest
     container: ghcr.io/scp-fs2open/linux_build:sha-71099c9