Publish to AWS: Quickly re-publish container images to ECR

From Publish to AWS, once I have published my application as a container into ECR, I would like a fast way to republish the same project to the same ECR. The re-publish should not need as many interactions/configurations as publishing to a New Target.

Original issue text is below

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In Publish to AWS, the Existing Targets list did not show my project. I expected to see it there.

I've created a new Publish to New Target, deploy successfully many times. But never been show in "Existing Targets".
Then I tried use "administrator profile" to check if maybe the issue was permission and the same result. unsuccessfully use Existing Targets.

Do I need create manually the "settings" file ?
I'm using "Container Image to Amazon ECR"

Toolkit: 1.40.0.0
Visual Studio: 17.2.6

Start by reproducing the Publish to AWS flow for a container image to Amazon ECR, comparing Existing Targets with New Target. Trace how a project and its ECR target are discovered and configured; done means an already-published project can be republished to the same ECR target with fewer interactions.

Written by the indexing model from the issue text.