There is a storage limit, which is generally 50GB - and can be seen here : https://learn.microsoft.com/en-us/azure/container-instances/container-instances-resource-and-quota-limits#standard-container-resources
It sounds like you're building an app, which i'd typically do during my CI/CD pipeline. I'd typically create the container image as part of that process then store it in an Azure Container Registry. This way if I wanted to run the web app on an ACI, then i'd just pull that container. I appreciated that i've guessed your scenario, so apologies if your actual scenario is a little different.