Why don't the two sticks cast a shadow in the same direction, as they would on a flat earth?
Because outer space and the heliocentric model is bullshit. The Sun is a 32 mile wide source of light within the dome that orbits at an altitude of about 3000 miles. Having the shadows from two sticks not point in the same direction is exactly what's expected with a small close Sun above a flat plane.
Working things ass backwards by claiming the Earth is in motion and orbiting a 2 million mile wide Sun 93 million miles out then boldly claiming it's proof of a globe is fucked. You're on the merry-go-round claiming you're motionless and the Earth is spinning tubby.
prove it.
Fuck off, the math works the same for a small close Sun and flat plane as it does for a spinning globe and giant far away Sun. You can crunch the numbers and prove it yourself.