@yash-lucid thanks for sending that recording, it's really helpful to see what you're seeing. When your Project panel is in Icon or Freeform view (yours is in Icon view) and you click on a thumbnail, it creates a mini-player on that clip. That's why you see a blue timeline bar with a little playhead. When that bar or playhead is clicked, Premiere Pro will play back that clip or sequence inside the mini player, including playing sound. This will stop the playback of the sequence, otherwise you'd have two audio sources playing at the same time.
The only way I'm aware to avoid this is to work in List view. I'll take this as feedback to the team, though, that it might be nice to be able to turn off this mini-player view if it would be interrupting your main playback.
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