We NORMALLY don't use the present simple to describe "at the moment" situations, so the most natural choice would be #1.
We do sometimes use the present simple for scheduled things, eg.
"I fly to Paris next week",
so, it's POSSIBLE that there just might be some circumstance where #2 would fit. But if it's described as "incorrect" that leaves students really puzzled when they come across such an example.
Student or Learner