If Toy Story was real, and you had a Buzz Lightyear toy, would it think it was a space ranger or would it think it's the toy from the movie and will try and find its way back to Andy, amirite?

It would think it was a space ranger unless it had realised it was a toy then it would always try find its way back to me I guess. 乂ᵒ◡^乂

Look at the shoe. If it says Andy then find Andy and give the toy back. If not it's your toy.

OP asks the real questions

...*looks at original buzz and woody toys in closet

The latter.