It depends on how you create the audio. If the production of sound is under your control, you can place the tap at the output and write to the file as it plays. The easiest way is the new AVAudioEngine feature (there are other ways, but AVAudioEngine is basically an easy interface for them).
Of course, if the real problem is to take a copy of the podcast, then obviously all you have to do is download the podcast and not listen to it. Similarly, you can buffer and save streaming audio to a file. These are many applications. But this is not because the device is displayed on the screen; this is again because we ourselves control the audio data ourselves.
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