I play part one of a podcast, when it ends spotify stops playing; Next I play part two of the same podcast, when it ends spotify continues to play part one, even though it is marked as 'Played'. Please make autoplay a setting for podcasts.
Can you perform a clean reinstall of the app? This will make sure there's no old cache files causing this.
If that doesn't do the trick, can you provide us a screen recording from when you enter the podcast > press Play > fast forward to the end so that we can see what happens when the podcast episode finish.
We'll keep an eye out for your reply.
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