The thing nobody really tells you is that even if your email shows up in a breach, your actual password is almost never just sitting there readable. Most sites hash passwords, which means they're scrambled in a way that's super hard to reverse. So when you get that notification, it usually means your email and username got leaked, not the password itself - unless the site was really negligent about security.
that said, you still need to treat it seriously because hackers will try your email + common passwords or ones from other breaches against your other accounts. I found out last year that an old forum i'd used years ago got hit, and even though the actual passwords weren't exposed, someone tried logging into my email with leaked credentials from some other site. Caught it because of login alerts, but it was a wake-up call.
Here's what actually matters: if you used that password anywhere else, change it on those accounts first, starting with email and banking stuff. After that, yes, run it through Have I Been Pwned like the earlier answers mentioned - but focus on the email/username side, not trying to verify if the password itself is out there. Going forward, just use a password manager so you're not reusing anything, and you won't have to lose sleep wondering which sites got what. It takes like twenty minutes to set up and saves you from this exact headache down the road.