Definitely get out of there. However, I'd suggest considering keeping the current job while you look for the next one. If you are looking for a "standard/real" job, being currently employed seems to be viewed as a plus. And it may take some pressure off, money/benefits wise, so that you don't end up feeling the need to take whatever ends up being available/offered.
This approach may still make you feel somewhat better. Once you know you are getting out of the current situation, its annoyance becomes a temporary inconvenience. Still a hassle, but not one you are going to endure indefinitely.
On the other hand, a job does take up a lot of time and energy, particularly traditional business hours. And -- as I know from personal experience -- a bad situation can become so soul sucking that it becomes paralyzing.
This approach may still make you feel somewhat better. Once you know you are getting out of the current situation, its annoyance becomes a temporary inconvenience. Still a hassle, but not one you are going to endure indefinitely.
On the other hand, a job does take up a lot of time and energy, particularly traditional business hours. And -- as I know from personal experience -- a bad situation can become so soul sucking that it becomes paralyzing.