browser-sync does not refresh the page from gulp

Question

browser-sync used with gulp does not refresh the page in the browser even for a simple setup.

Versions: gulp: 4.0.2, browser-sync: 2.26.7, Chrome: 81.0.4044.138

Folder structure:

|- src/
    |- index.html
|- dist

gulpfile.js:

const { task, src, dest, series, watch } = require('gulp');
const browserSync = require('browser-sync').create();

task('html', () => {
    return src('src/*.html').pipe(dest('dist'));
});

task('browserSync', () => {
    browserSync.init({
        server: {
            baseDir: 'dist'
        }
    });
});

task(
    'watch',
    series(
        task('html'),
        (done) => {
            watch('src/*.html', task('html'));
            watch('dest/*.html').on('change', browserSync.reload);
            done();
        },
        task('browserSync')
    )
);

When I run gulp watch, src/index.html is successfully copied to dest/index.html, and browser-sync is started (Chrome opens the page and shows me "Browsersync connected").

When I make any changes in src/index.html, it is copied to dest/index.html but browser-sync doesn't refresh the page.

I tried replacing browserSync.reload with () => console.log('reloaded') inside watch('dist/*.html').on('change', ...) call, and the log message is shown successfully every time I change src/index.html file (which means that the watcher works properly and browserSync.reload is called). Also tried restarting Chrome.

Any help or advice would be much appreciated.

---

Update: it starts working if I put watch('dist/*.html', browserSync.reload); inside the browserSync task (which is strange):

task('browserSync', () => {
    browserSync.init({
        server: {
            baseDir: 'dist'
        }
    });

    watch('dist/*.html', browserSync.reload);
});

Another option that helps is adding files property to make browser-sync create its own file watcher:

task('browserSync', () => {
    browserSync.init({
        server: {
            baseDir: 'dist'
        },
        files: [ 'dist/*.html' ]
    });
});