Add bun support

[jacobsandersen]

I develop my website using bun as my package manager. Unfortunately the only supported package managers in this action are npm, pnpm, and yarn. I would like to add bun as a supported package manager via PR.

(I've already written the PR, but read the contributing guidelines a bit late and noticed you guys want an issue first. If you end up declining the PR, no sweat, my fault.)