I thought you'd say that, the thing about a spotlight is that it focuses its light in one concentrated area.
Considering what you said about it shining in all directions, not all at once. Okay so it shines in one place at a time.
If your sun is setting where I am, that means the sun is focused at me. That means it can't be focused straight down where it is actually over. They wouldn't get sun, they would look up and see a weird light shining toward the east, until the hill stopped it, then suddenly it would start shining straight down. That doesn't make sense.
If you dispute the above, that means the "spotlight" is actually a light, and the cone is very wide and can illuminate large areas of land and cast shadows sideways. So why can't it cast shadows on the other side of the world? Does our atmosphere prevent us from seeing the sun when it moves too far away?
What you are suggesting is the atmosphere bends light like thick glass would. Our atmosphere isn't made of thick glass. Air doesn't bend light that efficiently. If the flying planes and rockets all appear where they are meant to be, then the sun, moon and stars will too.
I can understand how you came to the conclusion that the sun is a spotlight. You envisioned a flat earth, then thought, "wait, how come sun only illuminates part of the earth at a time?", then thought of a spotlight. But that doesn't work, try again.
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