This is standard and included in any large company's employment contract. They can't afford not to have it as some sort of fear inducing defense. Accept the offer. Then send a written request to your HR contact for permission to continue working on your current side projects that make money and don't directly compete with Amazon. You will most likely get it. Cross other bridges when you reach them.

Most companies rarely pursue this unless and only do it for very senior folks involved in ground breaking future strategy. As an example, Amazon didn't go after Instacart. Google hasn't gone after their self-driving folks that defected, and I bet they had similar agreements.