@Alex Izrailov Welcome to Microsoft Q&A Forum, Thank you for posting your query here!
I'd recommend to post your DevOps query, in Developer Community to receive a focused and immediate assistance from the right set of experts. These forum community members could provide their expert guidance on your scenario based on their experience. Thanks.
Additional information: In mean while you refer to the suggestion mentioned in this thread Access azure storage account from pipeline agent which may provide some idea on your scenario.
There is a discussion in GitHub on Azure pipeline IP host ranges AzureDevops
Use private endpoints for Azure Storage
Please let us know if you have any further queries. I’m happy to assist you further.
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