Following #4, GitHub Actions can be used to automatically build the container and publish it somewhere (e.g. the GitHub container registry). This may change later depending on how exactly it's gonna be deployed, but I think this is a good first step for now. This can be used as a reference, though note that it pushes to ECR instead of the GitHub registry. If I remember correctly, the Docker actions have good instructions for how to set it up for all the different registries.
Following #4, GitHub Actions can be used to automatically build the container and publish it somewhere (e.g. the GitHub container registry). This may change later depending on how exactly it's gonna be deployed, but I think this is a good first step for now. This can be used as a reference, though note that it pushes to ECR instead of the GitHub registry. If I remember correctly, the Docker actions have good instructions for how to set it up for all the different registries.