Web Publish password not the same as my Azure admin password?
Solution 1:
Is there a way to see what this password is and/or change it?
Click the link in Azure portal -> Your Website -> Dashboard -> Quick glance -> Download the publish profile
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Download the file and your publishing password should be there in plain text in form userPWD="7vasdfa...."
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If you want to reset that you can click the link Azure portal -> Your Website -> Dashboard -> Quick glance -> Reset your publish profile credentials
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Solution 2:
For the same solution as Kaspars Ozols presented but for the new Azure Portal you can go to the Web app in question and click the "Get publishing profile"
Solution 3:
Updating thread since it is now 9/2018.
Goto Azure Portal -> Dashboard -> App Service (that you are deploying to) -> Get publish profile (in the top middle of browser)
Once you have the file downloaded, look for the userPWD arg.