Thanks for reaching out.
503 service unavailable will be caused for the following reasons
- Function host is down/restarting
- Platform issue due to the backend server not running/ allocated
- Memory leak/issue from the code causing the backend server to return 503
I would suggest you to look into the "Diagnose and solve problems" blade in the Function app and select the "Function app down or reporting" detector. This detector will show all the diagnostic information about the function app and its infrastructure. This will give some insights about the function host related issues. Also check the Web app restarted section to see if there were any platform related issues that could contribute to 503 error. Please note that if you are running on Linux platform, then you would get information about the container recycles in the Web app restarted detector.
Whenever you are getting the "Azure Functions runtime unreachable" error in the portal, please take a look at the below article to troubleshoot the issue
https://learn.microsoft.com/en-us/azure/azure-functions/functions-recover-storage-account
I hope this helps!
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