Which AF-S lens is best with Nikon d3200?

I am planning to buy a Nikon d3200 with 18-55mm lens and also either one of the below lens.

Nikon AF Zoom-Nikkor 70-300mm f/4-5.6G (4.3x) Lens
(or)
Tamron AF 70-300mm F/4-5.6 Di LD Macro

My expectation with the lens is that, it must have built-in motor as Nikon d3200 does not have motor to support other AF lens

When searching for lens, I have found some 70-300 mm lens cost much higher than the above two. For example, Tamron AF 70-200mm F/2.8 Di LD. It cost around 44,000.

I was assuming 70-300mm lens can do much more than a 70-200mm lens. Since the price was much different. Anyone could help me understand the difference.

Thanks in advance.

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