Yes remember set the glass pot on something that will not change the temp quickly. If you are using the flowers I don't use the infuser. The infuser is good for loose tea. I use an Yixing tea pot for loose pu-erh tea that I like. I use the flowers when I have guest.
I would highly recommend you not to do that, because you would have to figure out a way to pour the tea into a cup for an example. It will be way too hot, and you will risk of breaking the teapot. Just do it separately to be safe. I know the product says it is stove top safe, but I rather be safe and save money.