Spotify doesn't play ads that interrupt the music listening experience of Premium subscribers, however, some podcasts may include advertising, host-read endorsements, or sponsorship messages, which is why you may be hearing those advertisements.
This is not what the above post is referring to. When playing a podcast Spotify pauses the podcast and plays an add that is not at all part of the podcast (the video for JRE stops and the add plays before the video starts again). It has not been included by the makers of the podcast but put in by Spotify. There is either a serious problem your end or some sort of fraud (ad free premium?). You need to give a better answer than this generic answer I am seeing on all these posts, which categorically does not explain the adds put by Spotify in the middle of the content.
Keep in mind that Spotify gives the podcast hosts the option to choose if they would like to have a dynamic ad slot in their podcast, but that isn't something Spotify can control - it's up to the individual podcast owners if they choose to have that type of ad in their content.
Hope this helps. Don't hesitate to reach out again if anything else comes up.
Have a good one.
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"Music touches us emotionally, where words alone can't." -Henry Thoreau