You could always throw on a hyphenated middle name. She’s no longer Jessica, she’s Jessica-Anne.
I have a short full name, think something along the lines of “Sam Dal” (it’s not, but same vibes), a lot of people ask what Sam is short for, but the answer is nothing, my legal name is just Sam. My friends will call me “Samuel Jay Dalford” as running joke. Made additionally funny because it’s a masculine name and I’m not a man.