FizzBuzz in Solidity but ridiculous

FizzBuzz.sol

// SPDX-License-Identifier: MIT
pragma solidity 0.8.15;

import {console2} from "forge-std/console2.sol";

contract FizzBuzz {
    modifier fizz(uint256 n) {
        _;
        if (n % 3 == 0 && n % 5 != 0) {
            console2.log("Fizz");
        }
    }

    modifier buzz(uint256 n) {
        _;
        if (n % 5 == 0 && n % 3 != 0) {
            console2.log("Buzz");
        }
    }

    modifier both(uint256 n) {
        _;
        if (n % 3 == 0 && n % 5 == 0) {
            console2.log("Fizz Buzz");
        }
    }

    modifier neither(uint256 n) {
        _;
        if (n % 3 != 0 && n % 5 != 0) {
            console2.log(n);
        }
    }

    modifier recurse(uint256 n) {
        _;
        if (n > 1) {
            fizzbuzz(n - 1);
        }
    }

    function fizzbuzz(uint256 n) public fizz(n) buzz(n) both(n) neither(n) recurse(n) {}
}

contract FizzBuzzTest {
    FizzBuzz fizzbuzz;

    function setUp() public {
        fizzbuzz = new FizzBuzz();
    }

    function testFizzbuzz100() public {
        fizzbuzz.fizzbuzz(100);
    }
}

$ forge test --match testFizz -vv
...
[PASS] testFizzbuzz100() (gas: 120866)
Logs:
  1
  2
  Fizz
  4
  Buzz
  Fizz
  7
  8
  Fizz
  Buzz
  11
  Fizz
  13
  14
  Fizz Buzz
...