I don't get the spotlight idea...the shining of the sun is omnidirectional.
The fact, that we observe clear shadows requires that the nearer the light source, the more narrow the light beam needs to be.
With an omnidirectional light source circulating only 3’000 miles above the earth surface there would be no day and night.
Afaik, there are no natural sources of light which are not omnidirectional.
E.g. neutron stars and black holes could generate a focused beam, incl. visible light. But to have one of these only 3’000 miles away would be deadly, even with a diameter of only a few miles.
Further, if the sun is a spotlight, it should also appear flat to us....so as it goes about its proposed orbit, it should appear as a circle when directly overhead, and as an ellipse when it is not.
Maybe another property of the atmosphere (besides high-degrees bending, zooming, amplifying, etc.) could be transforming of light, so that the shape of the sun (and moon) always appears to be a circle.
With a spherical sun only 3’000 miles above the earth, sunspots would appear different when observed from different locations on earth.