Your little experiment does not prove where the actual position of the Sun is.While you were right about the apparent and actual positions not being the same, you are dead wrong about them being 2.1° apart.Then do this little experiment. Go outside on a sunny day at noon and pound a stake into the ground, so that there is no shadow. Then 8.3 minutes later pound another stake into the ground so that there is no shadow from it either and make it so that the points of the stakes that you drove in the ground meet each other. Measure the angle. If it isn't close to 2.1 degrees, I will publicly and humbly admit that I was wrong.
At least you have completely failed to demonstrate otherwise.
Will you do the same if it is close to 2.1 degrees?
Can you think of a better demonstration to prove or disprove the assertion?
It only proves that the Earth is either turning or being orbited.
Are you denying that the second stake is pointing to where the Sun actually was when you placed the first stake that pointed to the apparent position of the Sun?