If you encountered this problem, chances are the Provisioning Profile you are using for your app is attached to another iOS Distribution Certificate (attached another Apple ID).
You will be shown with this error:
Profile doesn't include the selected signing certificate.
How to fix
To fix this, you need to transfer the Provisioning Profile’s Certificate to YOUR own certificate. In developer.apple.com, login to your developer account.
Go to Provisioning Profiles > Distribution > <Your App> > Edit >
Then, in the Edit iOS Provisioning Profiles page in Certificates section, select the certificate you are using for your XCode. Then click Generate button. This will generate a new provisioning profile for you app that is linked to your certificate.
Then in the Distribute App process, you will have to option to select the new provisioning profile.