The correct option is Azure Resource Manager.

The Azure Resource Manager service connection is designed to let Azure DevOps authenticate to Azure resources so pipelines can retrieve secrets from an Azure Key Vault without embedding long lived credentials in pipeline YAML or source control. It can be configured to use an Azure AD service principal or a managed identity so the authentication material remains in Azure and access is granted via Azure Key Vault access policies.

Generic service is incorrect because it is a catch all endpoint type and does not provide the native Azure authentication flow or Key Vault integration. Using a generic connection would typically require you to supply and store credentials or tokens directly for the pipeline to use.

Team Foundation Server / Azure Pipelines service connection is incorrect because that connection type is intended for on premises Team Foundation Server or Azure DevOps Server integration and it does not provide the native Azure Resource Manager authentication needed to access Azure Key Vault. Team Foundation Server is also the older on premises product and is less relevant for cloud native Azure key vault access.

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