Hello @Philipp Marinovic-Brünjes , welcome to this moderated Azure community forum. If I start an existing ASA job, I get this dialog in the portal:
As you can see, I can start fresh by ingesting newly incoming messages or I can start right where I left when the message was stopped. This is seen with the IoT Hub as input but I expect this with other resources too. The Kafka input is in preview, I do not see any other behavior mentioned in the documented limitations.
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