Don't Expect a Fast iOS 13 Jailbreak
Jailbreak developers will probably crack the iOS 13 beta and the official version of iOS 13, but that doesn't mean we'll see a release for the beta or the official version when it's released in the fall. In fact, we'd bet against it.
The first iOS 12 jailbreak was released earlier this year, months after iOS 12's arrival. The jailbreaks are currently limited to iOS 12.0-iOS 12.1.2.
We still don't have a public jailbreak for iOS 12.1.3-iOS 12.3 and it's unclear if we'll ever get one. There's still an active jailbreak community, but interest has waned over the years.
If you want to jailbreak iOS 13, be prepared to wait a long time for the ability to do so.