Are you receiving the code on your iPod?
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Additional thought. If it won't send the code to your phone, try contacting Apple ID Support for suggestions.
Apple Support by e-mail or chat Select your device, Battery, Power and Charging, then Power adapter not working to get a chat option. If you need to talk to them, ask them if they will do a Skype or FaceTime with you.
Question: How to reset my security questions if the code is sent to another device I don’t use anymore?