165T and 75kts
This is how the test will want you to do it, and it will get you the mark
Not with the wrong answer it won't. But it will make you a lot of money, because you've discovered the secret to perpetual motion! Having headed partially into wind to compensate for drift, it must be the case you have a head-wind component. Yet you are telling us that you are only going to need a TAS of 75 kts to maintain a GS of 80kts! Amazing.
Garbage in, garbage out. Is it the case that students are no longer taught to think about what might be roughly the correct answer before using the wizz-wheel?
I think you'll find the answer is 166T Hdg, 82.5kts TAS.