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I think eventually you reach a point where previously played notes would lose all of their energy, meaning there’s probably an upper limit on how loud it would get for an observer at the end. Something something Doppler effect.

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Not the Doppler effect, as that only applies to moving objects, but instead the inverse square law, where the energy of the sound wave decreases by the square of the distance from the origin, since it spreads in a sphere with the energy being spread across the surface of the sphere, resulting in a very quick dropoff in the loudness.

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The sound source is moving in the above scenario relative to a stationary object. I’m not saying you’re wrong but that was my thinking.

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