The search for a "Taigone jailbreak 10.3.4" often leads to confusion because (the original team) and Taigone (a modern installer) serve different purposes. While TaiG was a legendary jailbreak tool for older versions like iOS 8.x, Taigone today acts more as a jailbreak solution aggregator and app installer for newer firmware like iOS 10.3.4.
All current jailbreaks for this version are semi-untethered. This means if your device reboots, you must re-run the jailbreak app to reactivate Cydia and your tweaks. taigone jailbreak 10.3.4
If your goal is a full jailbreak with root access, these are the primary methods: The search for a "Taigone jailbreak 10