[Bug] Metadata Not Generated GenerateManagedReferenceYamlFiles

**Describe the bug**
When using Docfx.Dotnet and Docfx.App to generate metadata within a c# build process, metadata is not generated. We get a  `Could not load file or assembly 'NuGet.Frameworks'`, then all of the usings fail - System, System.Web, etc.

Works fine from a command line manually run, and works fine from a cake build using dotnet tool.

**To Reproduce**
Steps to reproduce the behavior:
1. Execute `await DotnetApiCatalog.GenerateManagedReferenceYamlFiles(<path-to-docfx.json>)`;
2. Every csproj fails to build with `Could not load file or assembly 'NuGet.Frameworks'` message

**Expected behavior**
Metadata to build from c# the same as `dotnet tool run docfx metadata docfx.json` does.

**Context (please complete the following information):**
- OS: Windows
- DocFx.Dotnet version: 2.71.0
- DocFx.App version: 2.71.0
- .NET version: .NET 7, .NET 6 doesn't matter which (tried with both)

- `docfx.json` config

```json
{
  "metadata": [
    {
      "dest": "api",
      "disableGitFeatures": false,
      "disableDefaultFilter": false,
      "namespaceLayout": "nested",
      "properties": {
        "TargetFramework": "netstandard2.1"
      },
      "src": [
        {
          "files": ["**/*.csproj"],
          "exclude": [
            "**/bin/**",
            "**/obj/**",
            "<project>.Web/**"
          ],
          "src": "../src"
        }
      ]
    }
  ],
  "build": {
    "content": [
      {
        "files": ["**/*.{md,yml}", "styles/*.css"],
        "exclude": ["<project>.Web/*.*"]
      }
    ],
    "cleanupCacheHistory": false,
    "dest": "<project>.Web",
    "disableGitFeatures": false,
    "fileMetadataFiles": [],
    "globalMetadata": {
      "_appTitle": "<project> Documentation",
      "_appName": "<project> Documentation",
      "_appFooter": "© 2023",
      "_appLogoPath": "images/<project>-logo_blue_square.png",
      "_appFaviconPath": "images/<project>-logo_blue_square.ico",
      "_disableContribution": false,
      "_lang": "en-us",
      "_noindex": true,
      "_gitUrlPattern": "vso",
      "_gitContribute": {
        "repo": "<project-repo>",
        "branch": "main"
      }
    },
    "globalMetadataFiles": [],
    "keepFileLink": false,
    "markdownEngineName": "markdig",
    "noLangKeyword": false,
    "overwrite": [
      {
        "exclude": ["obj/**", "<project>.Web/**"],
        "files": ["apidoc/**.md"]
      }
    ],
    "postProcessors": [],
    "resource": [
      {
        "files": ["images/**"]
      }
    ],
    "template": [
      "default",
      "modern",
      "<project>/singulinkfx",
      "<project>/<projectTemplate>"
    ]
  }
}

```

- Exceptions 
50+ examples of the following, when trying to build for Net7:

```csharp
warning: [Failure] Msbuild failed when processing the file '<project>.csproj' with message: C:\Program Files\dotnet\sdk\7.0.401\Sdks\Microsoft.NET.Sdk\targets\Microsoft.NET.Sdk.FrameworkReferenceResolution.targets: (90, 5): The "ProcessFrameworkReferences" task failed unexpectedly.
System.IO.FileLoadException: Could not load file or assembly 'NuGet.Frameworks, Version=6.7.0.127, Culture=neutral, PublicKeyToken=31bf3856ad364e35'. Could not find or load a specific file. (0x80131621)
File name: 'NuGet.Frameworks, Version=6.7.0.127, Culture=neutral, PublicKeyToken=31bf3856ad364e35'
 ---> System.IO.FileLoadException: Could not load file or assembly 'NuGet.Frameworks, Version=6.7.0.127, Culture=neutral, PublicKeyToken=31bf3856ad364e35'.
   at System.Runtime.Loader.AssemblyLoadContext.<LoadFromPath>g____PInvoke|5_0(IntPtr ptrNativeAssemblyBinder, UInt16* ilPath, UInt16* niPath, ObjectHandleOnStack retAssembly)
   at System.Runtime.Loader.AssemblyLoadContext.LoadFromAssemblyPath(String assemblyPath)
   at Microsoft.Build.Shared.MSBuildLoadContext.Load(AssemblyName assemblyName)
   at System.Runtime.Loader.AssemblyLoadContext.ResolveUsingLoad(AssemblyName assemblyName)
   at System.Runtime.Loader.AssemblyLoadContext.Resolve(IntPtr gchManagedAssemblyLoadContext, AssemblyName assemblyName)
   at Microsoft.NET.Build.Tasks.ProcessFrameworkReferences.<>c.<ExecuteCore>b__141_0(ITaskItem item)
   at System.Linq.Enumerable.SelectArrayIterator`2.MoveNext()
   at System.Linq.Enumerable.WhereEnumerableIterator`1.ToList()
   at Microsoft.NET.Build.Tasks.ProcessFrameworkReferences.ExecuteCore()
   at Microsoft.NET.Build.Tasks.TaskBase.Execute()
   at Microsoft.Build.BackEnd.TaskExecutionHost.Microsoft.Build.BackEnd.ITaskExecutionHost.Execute()
   at Microsoft.Build.BackEnd.TaskBuilder.ExecuteInstantiatedTask(ITaskExecutionHost taskExecutionHost, TaskLoggingContext taskLoggingContext, TaskHost taskHost, ItemBucket bucket, TaskExecutionMode howToExecuteTask)
warning: [Warning] Found project reference without a matching metadata reference: <project>.csproj
```

- Exceptions 
50+ examples of the following, when trying to build for Net6:

```csharp
warning: [Failure] Msbuild failed when processing the file '<project>.csproj' with message: C:\Program Files\dotnet\sdk\6.0.414\Sdks\Microsoft.NET.Sdk\targets\Microsoft.NET.Sdk.FrameworkReferenceResolution.targets: (90, 5): The "ProcessFrameworkReferences" task failed unexpectedly.
System.IO.FileLoadException: Could not load file or assembly 'NuGet.Frameworks, Version=6.3.3.3, Culture=neutral, PublicKeyToken=31bf3856ad364e35'. Could not find or load a specific file. (0x80131621)
File name: 'NuGet.Frameworks, Version=6.3.3.3, Culture=neutral, PublicKeyToken=31bf3856ad364e35'
 ---> System.IO.FileLoadException: Could not load file or assembly 'NuGet.Frameworks, Version=6.3.3.3, Culture=neutral, PublicKeyToken=31bf3856ad364e35'.
   at System.Runtime.Loader.AssemblyLoadContext.LoadFromPath(IntPtr ptrNativeAssemblyLoadContext, String ilPath, String niPath, ObjectHandleOnStack retAssembly)
   at System.Runtime.Loader.AssemblyLoadContext.LoadFromAssemblyPath(String assemblyPath)
   at Microsoft.Build.Shared.MSBuildLoadContext.Load(AssemblyName assemblyName)
   at System.Runtime.Loader.AssemblyLoadContext.ResolveUsingLoad(AssemblyName assemblyName)
   at System.Runtime.Loader.AssemblyLoadContext.Resolve(IntPtr gchManagedAssemblyLoadContext, AssemblyName assemblyName)
   at System.Linq.Enumerable.WhereEnumerableIterator`1.ToList()
   at Microsoft.NET.Build.Tasks.ProcessFrameworkReferences.ExecuteCore()
   at Microsoft.NET.Build.Tasks.TaskBase.Execute()
   at Microsoft.Build.BackEnd.TaskExecutionHost.Microsoft.Build.BackEnd.ITaskExecutionHost.Execute()
   at Microsoft.Build.BackEnd.TaskBuilder.ExecuteInstantiatedTask(ITaskExecutionHost taskExecutionHost, TaskLoggingContext taskLoggingContext, TaskHost taskHost, ItemBucket bucket, TaskExecutionMode howToExecuteTask)
warning: [Warning] Found project reference without a matching metadata reference: <project>.csproj
```


- .NET info

```
.NET SDK:
 Version:   7.0.401
 Commit:    eb26aacfec

Runtime Environment:
 OS Name:     Windows
 OS Version:  10.0.19045
 OS Platform: Windows
 RID:         win10-x64
 Base Path:   C:\Program Files\dotnet\sdk\7.0.401\

Host:
  Version:      7.0.11
  Architecture: x64
  Commit:       ecb34f85ec

.NET SDKs installed:
  3.1.401 [C:\Program Files\dotnet\sdk]
  5.0.408 [C:\Program Files\dotnet\sdk]
  6.0.414 [C:\Program Files\dotnet\sdk]
  7.0.401 [C:\Program Files\dotnet\sdk]

.NET runtimes installed:
  Microsoft.AspNetCore.App 3.1.7 [C:\Program Files\dotnet\shared\Microsoft.AspNetCore.App]
  Microsoft.AspNetCore.App 3.1.32 [C:\Program Files\dotnet\shared\Microsoft.AspNetCore.App]
  Microsoft.AspNetCore.App 5.0.17 [C:\Program Files\dotnet\shared\Microsoft.AspNetCore.App]
  Microsoft.AspNetCore.App 6.0.21 [C:\Program Files\dotnet\shared\Microsoft.AspNetCore.App]
  Microsoft.AspNetCore.App 6.0.22 [C:\Program Files\dotnet\shared\Microsoft.AspNetCore.App]
  Microsoft.AspNetCore.App 7.0.11 [C:\Program Files\dotnet\shared\Microsoft.AspNetCore.App]
  Microsoft.NETCore.App 3.1.7 [C:\Program Files\dotnet\shared\Microsoft.NETCore.App]
  Microsoft.NETCore.App 3.1.32 [C:\Program Files\dotnet\shared\Microsoft.NETCore.App]
  Microsoft.NETCore.App 5.0.17 [C:\Program Files\dotnet\shared\Microsoft.NETCore.App]
  Microsoft.NETCore.App 6.0.21 [C:\Program Files\dotnet\shared\Microsoft.NETCore.App]
  Microsoft.NETCore.App 6.0.22 [C:\Program Files\dotnet\shared\Microsoft.NETCore.App]
  Microsoft.NETCore.App 7.0.11 [C:\Program Files\dotnet\shared\Microsoft.NETCore.App]
  Microsoft.WindowsDesktop.App 3.1.7 [C:\Program Files\dotnet\shared\Microsoft.WindowsDesktop.App]
  Microsoft.WindowsDesktop.App 3.1.32 [C:\Program Files\dotnet\shared\Microsoft.WindowsDesktop.App]
  Microsoft.WindowsDesktop.App 5.0.17 [C:\Program Files\dotnet\shared\Microsoft.WindowsDesktop.App]
  Microsoft.WindowsDesktop.App 6.0.22 [C:\Program Files\dotnet\shared\Microsoft.WindowsDesktop.App]
  Microsoft.WindowsDesktop.App 7.0.11 [C:\Program Files\dotnet\shared\Microsoft.WindowsDesktop.App]

Other architectures found:
  x86   [C:\Program Files (x86)\dotnet]
    registered at [HKLM\SOFTWARE\dotnet\Setup\InstalledVersions\x86\InstallLocation]

Environment variables:
  Not set

global.json file:
  Not found
```

- .NET --list-sdks

```
3.1.401 [C:\Program Files\dotnet\sdk]
5.0.408 [C:\Program Files\dotnet\sdk]
6.0.414 [C:\Program Files\dotnet\sdk]
7.0.401 [C:\Program Files\dotnet\sdk]
```


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[Bug] Metadata Not Generated GenerateManagedReferenceYamlFiles #9271

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[Bug] Metadata Not Generated GenerateManagedReferenceYamlFiles #9271

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