It's not a matter of "its vs it's" in this case, but the very existence of the word in the sentence:
"NASA’s Webb Takes Its First-Ever Direct Image of Distant World"
It doesn't matter if one misspells its. You know what it means and it largely defines this sentence. A failure to parse such a relatively simple construct doesn't bode well.
You're of course correct, but perhaps I should have focused more on the concept of skipping words when reading, misremembering, and "reading what you want to read" - those traits are extremely common if not universal at some level in human readers as well.