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C++20, 203 bytes
this is uncompetitive, but this was so fun I couldn't help but post it here.
#include <bits/stdc++.h>
using namespace std;auto f=[](int i){return i%15?(i%5?(i%3?to_string(i):"Fizz"):"Buzz"):"FizzBuzz";};int main(){for(auto i:views::iota(1, 100)|views::transform(f))cout<<i<<endl;}