Add integration test for provider authentication

[lev-ok]

Describe the bug

Hash and signature checks for cached providers have been added in the #3055 PR. We need to add integration ones to test this feature.

Versions

• Terragrunt version: v0.58.1

Additional context

https://github.com/gruntwork-io/terragrunt/pull/3055#issuecomment-2075271849

[github-actions[bot]]

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