How to compile a single .svelte file from a SvelteKit app as a web component?

I have a SvelteKit 2/Svelte 5 app with out-of-the-box configuration - what you get by running npx sv create my-app. I want to build my app normally with adapter-node, but I also want to build a single .svelte file as a web component that I can reuse in other projects.

Currently my setup is this:

// $lib/widget/MyComponent.svelte

<svelte:options
    customElement={{
        tag: 'my-component',
    }}
/>

<script lang="ts">
    let counter = $state(0)
</script>

<button onclick={() => (counter += 1)}>
    Clicked {counter} times
</button>

// svelte.config.js

import { mdsvex } from 'mdsvex'
import adapter from '@sveltejs/adapter-node'
import { vitePreprocess } from '@sveltejs/vite-plugin-svelte'

const config = {
    preprocess: [vitePreprocess(), mdsvex()],
    kit: {
        adapter: adapter(),
    },
    extensions: ['.svelte', '.svx'],
}

export default config

// vite.widget.config.ts

import { svelte } from '@sveltejs/vite-plugin-svelte'

export default {
    build: {
        lib: {
            entry: 'src/lib/widget/MyComponent.svelte',
            name: 'MyComponent',
            fileName: (format) => `my-component.${format}.js`,
            formats: ['es'],
        },
        rollupOptions: {
            external: ['svelte'],
            output: {
                globals: {
                    svelte: 'svelte',
                },
            },
        },
        sourcemap: 'inline',
    },
    plugins: [
        svelte({
            compilerOptions: {
                customElement: true,
            },
        }),
    ],
}

vite build --config vite.widget.config.ts

<!-- root/my-component.html -->
<my-component></my-component>
<script src="./dist/my-component.es.js" type="module"></script>

It works, but I'm not sure if this is the correct way to do it.

I'm getting a warning in my .svelte file that I haven't specified customElement: true, but that's because I have my compiler options in vite.widget.config.ts.

I tried looking at the svelte/compiler docs, but I couldn't understand how I'm supposed to use that module.

Any tips are welcome!