Storage container copy to another container for versioning

Scenario:

Static website deployed to Azure storage $web container

I need to copy the $web container to another container each time the $web is updated.

Each time copying container should be different and it should be automatically created using scripting and naming can be using timestamp and date.

I need to initiate this through git Actions if possible.

I need advice on how to achieve this. is this possible using Logic Apps Azure Functions or Data lake  Storage