Meghan seems to have it in for Kate. It's not uncommon for people with narcissistic traits to conceive a strange sort of negative fixation on someone in their circle who the narcissist fears is somehow detracting from or stealing from the narc the attention the narc feels they deserve. So the narc repeatedly tries to overshadow or undermine the person with whom they're obsessed. It's an odd dynamic for sure.
Yes - and this obsession with Kate goes back a very long way to pre-Harry days, when she had a lovely little dig about W and C's wedding. I think most of Meghan's unpleasant behavioiur can be ascribed to her bitter resentment and envy of Catherine - it's so transparent. And when Harry reported that notorious conversation (about what the baby would look like), which he later tried to say wasn't racist at all, he did a very stupid thing. He gave Meghan just the ammunition she was looking for to destroy Catherine's reputation worldwide - and the damage has been done, despite his back-tracking.
(To be clear: I loathe actual racism, but as many pps have said, including POC, this kind of speculation about a forthcoming birth is pretty universal and wouldn't stand up in court as evidence for racism.) And Harry's own speculation about his genes and Meghan's genes is a bit ironic in light of the stink they both created!