AWS CodeArtifact NuGet endpoint intermittently returning 401 in Visual Studio when trying to browse packages

**Describe the bug**
I have had a working setup for a few years using this as a guide: https://docs.aws.amazon.com/codeartifact/latest/ug/nuget-visual-studio.html

We have a nuget source backed by AWS Code Artifact configured through Visual Studio. It works 80% of the time. However intermittently we receive 401 errors when trying to view packages from this source through Visual Studio. Once I get a 401 I'll see it consistently until the problem somehow resolves on its own. Sometimes this takes 5 minutes, sometimes it takes close to an hour. It doesn't seem like restarting VS or the system help at all. This all happens without a change to the AWS profile that is being used for credentials.

```
Response status code does not indicate success: 401 (Unauthorized).
[wellright\wellright-repository] Unable to load the service index for source https://wellright-060498233243.d.codeartifact.us-east-1.amazonaws.com/nuget/wellright-repository/v3/index.json.
Response status code does not indicate success: 401 (Unauthorized).
[wellright\wellright-repository] Unable to load the service index for source https://wellright-060498233243.d.codeartifact.us-east-1.amazonaws.com/nuget/wellright-repository/v3/index.json.
Response status code does not indicate success: 401 (Unauthorized).
[wellright\wellright-repository] Unable to load the service index for source https://wellright-060498233243.d.codeartifact.us-east-1.amazonaws.com/nuget/wellright-repository/v3/index.json.
Response status code does not indicate success: 401 (Unauthorized).
[wellright\wellright-repository] Unable to load the service index for source https://wellright-060498233243.d.codeartifact.us-east-1.amazonaws.com/nuget/wellright-repository/v3/index.json.
Response status code does not indicate success: 401 (Unauthorized).
[wellright\wellright-repository] Unable to load the service index for source https://wellright-060498233243.d.codeartifact.us-east-1.amazonaws.com/nuget/wellright-repository/v3/index.json.
Response status code does not indicate success: 401 (Unauthorized).
```

**To Reproduce**
1. Setup CodeArtifact
2. Upload .NET packages
3. Configure AWS to use CodeArtifact as NuGet source. Use credentials from local profile
5. Try to use Visual Studio to browse the NuGet packages.
6. Result: 401 errors ~20% of the time. Once we see the 401 it's stuck like that for an undetermined amount of time. Sometimes it fixes itself in 5 minutes. Sometimes it takes an hour.

**Expected behavior**
No 401

**Screenshots**

**Toolkit Logs**
```
2024-01-12 14:17:33,678 [46] DEBUG Amazon.AWSToolkit.Lambda.Util.LambdaTesterInstaller - Attempting to install or update Lambda Tester dotnet tool
2024-01-12 14:17:41,302 [41] INFO Amazon.AWSToolkit.Lambda.Util.LambdaTesterInstaller - dotnet tool update -g Amazon.Lambda.TestTool-6.0
2024-01-12 14:17:41,302 [41] INFO Amazon.AWSToolkit.Lambda.Util.LambdaTesterInstaller - C:\Users\blah\AppData\Local\Temp\c60b0f00-6b6d-4a00-af27-59b81e651db3\restore.csproj : error NU1301: Unable to load the service index for source https://wellright-060498233243.d.codeartifact.us-east-1.amazonaws.com/nuget/wellright-repository/v3/index.json.
Tool 'amazon.lambda.testtool-6.0' failed to update due to the following:
The tool package could not be restored.
```

**Development System (please complete the following information):**
- Windows Version: 10 pro
- Visual Studio Version: 17.6.4
- AWS Toolkit for Visual Studio Version: 1.41.0.0

No repository file or test is identified in the report. Start by reproducing the intermittent 401 with AWS CodeArtifact configured as a NuGet source in Visual Studio, then review the provided toolkit logs and troubleshooting guide. Done means the cause is isolated and the package source no longer intermittently returns 401 errors.

Written by the indexing model from the issue text.