Your mind is your body + brain. Your behavior and all of your memories are due to how your synapses and intermediary cells were developed. Similarly, it also depends on the body chemistry.

If you were to fully transplant a brain to a new body and correctly link all the nerves, in theory you could have the same brain in a different body. In practice, this can fail miserably due to differences in all of your sensory connections to the brain and hormone levels.

It’s been a while since I looked into neuroscience, so there might be some things I am missing. The conclusion is that altering the chemistry around your body could change you as a person, even if your hypothalamus is the same (i.e., same memories).