>>96263
Need a chain tool yeah. First order of business is to remove the bent/broken link. At that point, if you have a (spare) quicklink you can have simply popp that on and be on your way. Since I didn't (stupid), I had to be sneaky.
You're right that if you push the pin out, you're not getting it back in.
However, if you push it NEARLY out - enough out that you can separate the links - you can push the pin back in (having lost one link of length on you are chain). If it falls out, you're done for. Or rather, you can try again, sacrificing another link.
I use the chain tool from picrel - just the chain breaker part, I carry a different multitool due to autism. It's supposed to be mounted in the case thing, so using it on its own is extremely ergonomically unsound, but it works, just about, if you have the right hex key.