There is no philosophica or logical problem. All "paradoxes" are swept away by the position that neither humans, at any stage of development, nor animals, have any "rights". There are no logical contradictions in this position.
The only objection that one might have is that one doesn't like this solution. That is, an aesthetic objection. But if the aim of your ethical investigations is merely to come up with an answer that you like, why bother? Why not cut directly to the chase and pick the solution you like? "It's ok to kill non-human apes but not humans, because I like it that way." "All human beings have the right to life, from the moment of conception, because I'm most comfortable with that." "People of genetic ancestry X have full rights, those of genetic ancestry Y have greatly diminished rights. I like it that way." "All humans are equal in rights, because I'm uncomfortable with it any other way."
Such debates just come down to an undecidable question of subjective taste anyway.
Also,
"We understand that there's something wonderful and uniquely worthy of
respect in the power, richness, and subtlety of the human mind."
Is there?
And what exactly does the mind and consciousness have to do with rights, anyway? The logical link is hard to perceive (I'm being facetious; everyone knows that there is no logical justification of rights in the first place). Saying it comes from mental abilities and consciousness just introduces a standard, but it doesn't justify that standard. Once again, the justification is just "it pleases me".