Got written up at work. Time to look for a new job?

I screwed up and got written up at work. It was a regulatory thing which my company takes very seriously and I procrastinated like an idiot on it. It’s my fault. I work a decent paying professional job in healthcare in a largish corporation.

Should I start looking for a new job?

I feel like in these situations once the paperwork starts you got a target on your back and it’s only a matter of time before you are let go. But it’s just a feeling tbh. I don’t know of anyone at this company that has gotten written up so I have no precedent.

But my potential to get a new job will be much higher if I am employed than when I’m unemployed. So I should strike while the iron is still hot and start getting my resume out there.

Still, I don’t want to unnecessarily panic. I REALLY like my current job and I’d rather not leave. It’s a good situation for me employment and pay wise.

Has anyone been in this situation before, gotten disciplined or written up at a professional job and everything turned out fine? Or am I right in that my best course of action is going to be find new work?