1- If you use only enhanced particle beam in the desing and then add the predictive targeting module, the bonus doesnt seem to apply (both here and when you build the ship).If you add normal particle beams everything works fine. Whats more if you add one particle beam and then rest enhanced particle beams and  then the predictive targeting modules , the bonus is applied correctly also to the enhanced beams.

Image:

https://i.postimg.cc/GmFZ96R5/predictive-bug.png

2-This is a weird one , but quite annoying. From time to time , after clicking end turn , nothing happens. The end turn button is greyed out, as if the end turn was done , but the  races processing doesnt start, nothing happens. I put the autosave to every turn, and if i reload the game,   usually the bug doesnt repeat , the end turn works correctly. Sometimes this bug happens like every other turn, sometimes i can play 15 turns without  problem.

Image: 

https://i.postimg.cc/KYmCTQvv/endturn-bug.png