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<https://docs.aws.amazon.com/AmazonECS/latest/developerguide/ecs_run_task.html>

That's correct. If you wanted to run a task, you could look at the <https://www.pulumi.com/docs/guides/crosswalk/aws/ecs/#running-fire-and-forget-tasks|code here >and then either curl the apigateway endpoint if you use the exact code in the example, or you could not use the apigateway and just run the code once the task definition is set up. You're running code after all

sounds kinda heavyweight to define API endpoint only to trigger one time container

or perhaps I am not fully understanding your remark: "_or you could not use the apigateway and just run the code once the task definition is set up. You're running code after all"_

but that is available only in the crosswalk but I believe the crosswalk is not supportet for Python which I am using

Is the task supposed to be long running or is it one that just runs some code and then stops?

just a single batch code that is supposed to be executed just once