iPhone 8 iOS 13.5.1 Jailbreak
You can jailbreak iOS 13.5, but you can't jailbreak iOS 13.5.1 yet.
The developers behind the "unc0ver" jailbreaking tool for iOS have released a new version, 5.0.0, that's compatible with iOS 13.5 and most versions of iOS going all the way down to iOS 11.0. iOS 12.3-12.3.2 and iOS 12.4.2-12.4.5 are excluded.
There's also another jailbreak tool (checkra1n) that works with iOS 12.3-iOS 13.5 so you'll want to look into that one as well.
Unfortunately, there's no way to jailbreak iOS 13.5.1 right now so if you plan to jailbreak or you're jailbroken, avoid upgrading.