Autotrader.com advance search doesn't work behind pi-hole

I'm noticing misbehavior on autotrader.com's Advanced search page (https://www.autotrader.com/cars-for-sale/advanced-search/) when using Pi-hole (current version). This is happening on any browser (Chrome, Firefox, Safari) and under MacOS and Windows. If I temporarily disable Pi-hole, the site works as expected.

Expected Behaviour:

When I browse to https://www.autotrader.com/cars-for-sale/advanced-search/, scroll down to the heading of Make, Model & Trim, and choose a manufacturer ("Ford", for example), I expect to then be able to choose a model.

Actual Behaviour:

The "Model" drop-down remains grayed-out, and a model can't be chosen:
image

Again, if I temporarily disable Pi-hole, this page works as expected.

Debug Token:

https://tricorder.pi-hole.net/y2a5pkccna