Is your feature request related to a problem? Please describe:

Adding the Datadog Vite plugin to vite.config.ts in a Vite project that does not use webpack throws an error:

Error: Cannot find module 'webpack'
Require stack:
C:\my-vite-project\node_modules\@datadog\vite-plugin\dist\src\index.js
C:\my-vite-project\vite.config.ts
(...)

Can reproduce by creating a vite project with npm create vite@latest, install the datadog vite plugin with npm i @datadog/vite-plugin, add the plugin to vite.config.ts, and run npm run dev

Describe the solution you'd like:

Ideally remove the dependency, or add it to this package's dependencies so that it is installed automatically when this package is installed.

Describe alternatives you've considered:

Manually installing webpack in the project resolves the issue
Installing webpack globally does not resolve the issue

Additional context: