No no consider this
There is a Hiva empire
You are this empires enemy
Naturally the empire will send forces to hunt you down
Over time as you overcome these threats more of the stronger Hiva people will come after you. Until the final battle is with the Hiva king
I think the problem is your thinking the Hiva king himself is currently targeting you which isn’t the case. Your currently just on the wanted list as criminals of the empire
Hiva, you should have read what was written. I'll sum up what your character's goal and reasons for his actions till now is:
Adam has a certain attribute in his soul that you wish to acquire, so you don't hunt him down due to his treachery, but because you need him for his 'ingredient. However, the only way to acquire this 'ingredient' is if the original Adam comes back, and the only to do that is through adaptive stressors or familiar events to occur in front of him. That is the reason why you haven't killed him, and why Eve was somewhat accepting of your stressors, due to the fact that the original Adam could come back.
If Adam gets too strong, however, he could become a threat. But still, the Hiva in this story is calculative and knows that there is a sweet spot that he can use Adam as a sacrifice for his personal goals than to save his friends and family like last time, and acquire this 'ingredient'.
This explains why Hiva threw Adam out the window at the start, to speed things up, and why Jimmy didn't do anything but wake up Adam and leave soon after.
Hiva knows that he is strong enough to kill everyone again, since he still has the power from his past life for being a crossbreed between a human and an angel (I can't think of any other reason why you are your original self, but Adam isn't), but decided to let them live to help with speeding up the process of bringing back the original Adam without actually being there.
Also, remember when Jimmy opened the portal and got frustrated? That was because you yourself cannot enter the safe space. However, there are ways around that, like a spy who has been a part of the facility for more than one lifetime, being reintroduced and retrieving their memories, or placing a tracking device on one of us before we entered the portal, or even going through the 4th dimention to view the situation in dierectly, while trying to hide from Gia.
See how many alternatives there are? And they all fit into context!
Please, do something similar to what I just did or build off of one of the alternatives I presented, I think they are all good, and they don't have any interactions that are unnecessary.