So if you have received the latest update for Google Play Music and have not received the Podcast option you can try the instructions below to get it to pop up for you. I tried it and it worked for me.
How to refresh Google Play Music account:
• Unlock your Android phone.
• Open the Google Play Music app.
• Press the 3-line menu button on the top-left corner.
• Select “Settings”.
• Under “Account”, hit “Refresh”.
How to refresh Google Play Music account:
• Unlock your Android phone.
• Open the Google Play Music app.
• Press the 3-line menu button on the top-left corner.
• Select “Settings”.
• Under “Account”, hit “Refresh”.
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