I think you will find that tires on that particular bike will make more of a difference than the wheels.

Nowadays fast, supple race tires have become so durable and puncture resistant that getting a tire designed for durability and puncture resistance can for many riders be overkill.

I am a big fan of Pirelli and Panaracer Race A and D tires. I have one bike with Continental Gatorskin Hardshells and they do what they say but they are slow and brutal. The added puncture resistance isn’t worth the compromise.

So consider a tire change first.