I believe in most states, it’s the mechanics responsibility to give a written estimate, and it’s also state law in many states that the shop requires a signature before performing work. I’ve been a mechanic with my own business for over 40 years and it’s been a common practice for my business to do this.

Not too bad. You’re not screwed. It’s a simple repair for almost any shop and should not be too expensive. Glad it happened at slow speed and nothing further happened!!! Be safe