I have a friend named Zi, and I think it's a very pretty and unique name for a girl. I would like to use it as a middle name for a possible future daughter.
The first "Zhi (fourth tone)" you have does not actually mean aspiration -- the phrases "Zhi2 Zhi4" or "Zhi4 yuan4" both do, however. Zhi4 alone means "the will (to do something)". [noted -ed]The "wisdom" meaning is also fourth tone. (The numbers after words are the tone numbers.)
https://en.m.wikipedia.org/wiki/China_at_the_2022_Winter_Olympics
Wu (吴) Zhitao (志涛) is a Chinese bobsledder who competed at 2022 Winter Olympics.
I found here the characters that form their names.
https://zh.m.wikipedia.org/wiki/2022%E5%B9%B4%E5%86%AC%E5%AD%A3%E5%A5%A5%E6%9E%97%E5%8C%B9%E5%85%8B%E8%BF%90%E5%8A%A8%E4%BC%9A%E4%B8%AD%E5%9B%BD%E4%BB%A3%E8%A1%A8%E5%9B%A2