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Surviving/escaping Earth's core

I'm contemplating making a page for a Transformers character named Devil Gigatron who, at the height of his power, was unaffected by the supergravity while fighting at the Earth's core. The corallary to this is that after defeating his mortal enemy, God Fire Convoy, he'd be able to escape. He has a jet form and officially his weight is 10 tons.

How durable would a being, a robot in this case, need to be to shrug off fighting at the Earth's core? Let's assume it's right at the edge to be conservative.

How much speed/force would a being with 10 tons of mass need in order to escape the pull at the Earth's center?
 
I am afraid that I don't know, but you can ask ClassicGameGuys, Illuminati, or Kkapoios about it (DontTalk is already very overworked, so it is best not to disturb him).
 
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