If it were under normal circumstances, it would have been very difficult for Huang Yi to reincarnate, as the chances of reincarnation are too low after a normal death. But on that day, Miyamoto Musashi had, rather insistently, given him a Reincarnation Potion, which cursed him with a Reincarnation Curse. This curse required a specific antidote to break, or alternatively, it could be resolved through reincarnation itself.
Huang Yi, of course, didn't have the antidote, so he took a gamble on himself to see if his conjecture about "Break and Re-establish" was correct. That's why he, disregarding the organization's opposition, resolutely went to rescue Qin Shiyu.
He also vaguely expressed this idea to the people who cared about him multiple times, it's just that they didn't catch on.
