Do I need a government or political internship to be a good candidate for law school ?

I’m currently an undergraduate student who is majoring in psychology and legal studies and I really really want to go to law school. I have had an internship at a law firm before and I’m a student leader on campus, I also run a civic engagement program in my college to help my city’s youth pass their exams and close the education gap, and conduct humanities research . I feel like those are good accomplishments but I see other pre law students get internships at the mayor’s office or other government offices almost everyone I know who is also pre law kinda brags about their internships with politicians and current council members, almost making it feel like a requirement for law school, should I get one too, and would this give my application more legitimacy? Since I interned for a government office?