Leareth is pretty sure he's going to inevitably kill some rabbits doing this, but he'd like to murder as few as possible, so he takes his time examining it. At one point re-morphs Yeerk and reinfests the rabbit, which is morphed as a random Thoughtsenser he was able to grab from nearby since a rabbit with an uncontrolled morphed mage-gift seemed worse, to make it demorph so he can take a nap, projecting his spirit to the Void is exhausting. Then he Yeerk-morphs and morphs the rabbit again and keeps going.
Once he's looked at the machinery enough to have a sense of all of its components and which parts are the human morph-template versus the matter that can be re-formed into the rabbit's original body versus the energy supply versus the - computing part? Whatever contains all the information to make this entire thing work.
Hmm. He needs to be able to pick apart the different components of what he's calling the computing part, and he needs to locate the trapped Andalite's body-template and hook it up to the components that will let it reassemble, but without making the poor Andalite reassemble into a rabbit somehow.
He asks to give another rabbit morph, and this time leaves it morphed past its time limit, so he can be in the Void and watch exactly what happens to the morph-mechanism when it breaks.