I see that the cheapest Ember is now $130. My first-gen is about six years old, and the battery is about shot. I hesitate to drop another $150-ish on a new mug, but OTOH, is consistently hot coffee worth $25/year? Yeah, it probably is to me, so I'm going to have to suck it up soon.
You can buy only a replacement mug (without coaster/charger). Also, get in contact with customer support mentioning the battery, they usually offer a discount code.
I had to deal twice with them: coaster stopped working 2 years ago and more recently paint inside the cup came out. Both time, they replaced the broken part at no cost. Probably the first time in my life I'm using and happily recommending customer support of any kind.
They're often much cheaper at Costco if that's an option and you don't care about a specific color. They are a complete game changer though, especially if you're a new parent.