[browser-esbuild] live-reload=false workflow is less convenient now

### Command

serve

### Description

I often work with `live-reload` disabled. This is helpful when working on CSS changes, I can try things in browser and then make multiple edits in files before manually reloading.
It's also faster when working on a laptop.

Before esbuild:
1. Make changes.
2. Refresh page.
3. Page reloads after new changes have been compiled.

With esbuild:
1. Changes.
2. Refresh.
3. Page reloads immediately before changes have been compiled. Now I need to monitor terminal and reload the page after successful compilation.

### Describe the solution you'd like

I was okay with the old behaviour where server wouldn't respond before successful compilation.

A less desired alternative would be to log Vite messages in browser's console, so that I can tell when compilation has finished there.

### Describe alternatives you've considered

_No response_

`live-reload=false` の `serve` コマンドのワークフローから始め、esbuild が変更をコンパイルしている間にブラウザーのリクエストがどのように動作するかを追跡します。更新のシーケンスを再現し、その後、更新がコンパイルの成功を待機すること、またはコンパイルの完了がブラウザーコンソールに表示されることを確認します。

索引モデルが issue の本文から書いたものです。