One 08 Thanks for posting your question in Microsoft Q&A. Currently, outbound message doesn't support additional attributes such as application properties (or user/custom properties) and feature request #1139 is still open. Please refer to the doc https://learn.microsoft.com/en-us/azure/azure-functions/functions-bindings-service-bus-output?pivots=programming-language-python&tabs=python-v2%2Cin-process%2Cextensionv5#example for more info on supported parameters.
If you have any feedback on this, please feel free to submit it in GitHub repo or via Azure Functions. Others with similar interests can upvote your idea too. I hope this helps and let me know if you have any questions.
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