I’m thinking about how to escape from zombies if they actually showed up.
You've seen 逃げる and 逃す. This one is 逃れる. This one simply means to escape. So that's not too bad. The difference between this one and the other escapes is that it has to do more with luck.
This is the same reading you learned for 逃す, so you should be able to read this word as well.