Azure runbook is failing to execute due to Authentication issue with azure storage account

Iam facing one issue with authentication of storage account for automation runbook in azure.

Scene:- Runbook will runasaccount and its based on service principle.

This runbook will get the azurevm status and triggers to store that to storage account every two days.

Issue: Runbook execution is successful if I put networking as publicly accessible

Runbook is failing to store vm data in storage account if changed networking to selected network.

In selected networking, I added resource instance of runbook and allowed trusted azure service,

But still it is showing authentication issues.

I provided contributor and storage blob data contributor role to the service principle also,still authentication issue.

Any idea how to resolve this.

Note:I don't want to make storage account publicly accessible.