10k will last you about 3 months comfortably, 6 if you're single and willing to scrimp or live in your car. That's your time limit to get a new job.
I had about 3x that saved and took a year off after working a decade at my previous position (I was pretty burnt out and hadn't been able to take more than a week off since I started). Having that padding gave me the time and peace of mind to look for something I really wanted, and gave me the freedom to turn down offers that would have put me back into the burnout cycle.
I ended up with a full WFH position with a 50% bump in salary. Within a year, I made back what I had spent simply by maintaining my budget from my previous salary.
If I hadn't had the cushion, it would have been pedal to the metal and accepting the first position offered, and I would have likely hit burnout before a year was out.