React-router-dom: Error 404 on Vite config and gh-pages

Question

After I deployed my react app on GitHub (using gh-pages), I ran into a navigation problem. The site takes the following URL as a home page: https://1kiritos1.github.io/,

Whereas, the homepage should be: https://1kiritos1.github.io/youtube-clone/

I need the site navigation to depend on the above-mentioned URL, for example: https://1kiritos1.github.io/youtube-clone/video/***
Or
https://1kiritos1.github.io/youtube-clone/channel/***

App

import React from 'react';
import { Box } from '@mui/material';
import { HashRouter as Router, Routes, Route } from 'react-router-dom';
import { Navbar, Feed, VideoDetail, ChannelDetail, SearchFeed } from './components';

function App() {
    return (
        <Router>
            <Box>
                <Navbar />
                <Routes>
                    <Route exact path="/" element={<Feed />} />
                    <Route path="/video/:id" element={<VideoDetail />} />
                    <Route path="/channel/:id" element={<ChannelDetail />} />
                    <Route path="/search/:searchTerm" element={<SearchFeed />} />
                </Routes>
            </Box>
        </Router>
    )
}
export default App;

Index

import React from 'react';
import ReactDOM from 'react-dom/client';
import App from './App';
import './style.css';

ReactDOM.createRoot(document.getElementById('root')).render(
    <App />
)

Package.json:

"name": "youtube_clone",
  "homepage": "/youtube-clone/#",
  "private": true,
  "version": "0.0.0",
  "type": "module",

Vite.config.js:

import { defineConfig } from "vite";
import react from "@vitejs/plugin-react";

export default defineConfig({
  base: '/youtube-clone/', // Base url of the website
  plugins: [react()]
});

I've tried to use basename="youtube-clone/", and also make changes following these solutions, but none of that didn't help me. The site works correctly on local server. Maybe issue in vite config, I don't know. ( If you need any additional information, please tell me, thank you )