Should we buy a rug after a downstairs neighbour complains about our child's footsteps?

Our downstairs neighbour knocked at 7:15 and said, "It sounds like someone is running circuits above my bed." Our four-year-old had been walking between the bathroom and kitchen while I got breakfast ready. The night before, he had also rolled a toy car along the same floor, which probably wasn't helping.

We live in a rented flat with hard flooring. She works late and says the early movement wakes her. My partner says we can't teach a child to hover, and I agree. I also believe she is hearing something disruptive even if our son isn't doing anything dramatic.

A rug large enough for that area would cost us about $160. We don't know how much difference it would make. The building manager has offered to look at the floor arrangements but hasn't visited yet. We haven't received a formal notice or a confirmed explanation of what carries the sound.

Would buying the rug now be a reasonable gesture, or would it invite an expectation that breakfast has to happen silently? I want to reduce avoidable noise without turning normal movement around our home into something our child is constantly told off for.