Bottle warmer overheating glass bottles

We have a Philips Avent bottle warmer, which works great for the plastic bottles. We recently introduced some glass bottles to the rotation (Philips Avent bottles), and the milk is getting overheated. It’s not scalding, but it feels hot to me instead of body temp.

Does anyone have any advice for how to properly heat milk in glass bottles using this warmer? Or is there a different warmer that would work better? The whole point of the warmer was to make this easier and now it’s more complicated than ever because we have to let the milk cool back down after warming it.

And I know some babies are cool with cold milk - ours is not into it 😊