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Re:New for AWS Lambda – Container Image Support by nathankunicki on Tuesday December 01, 2020 @01:27PM (#25268101)
I think you probably want Fargate for that.

This announcement is great if you need to package stuff inside your container for use at Lambda runtime.

Re:New for AWS Lambda – Container Image Support by munns on Tuesday December 01, 2020 @01:38PM (#25268259)
+1.

That's the idea. Run any container in Fargate. Now use the same tools you use to build/package those containers in Lambda.