🐛 BUG: hotkey bar renders when used with turborepo

### Which Cloudflare product(s) does this pertain to?

Wrangler

### What versions are you using?

wrangler@3.103.2

### What operating system and version are you using?

Mac OS

### Please provide a link to a minimal reproduction

_No response_

### Describe the Bug

When using wrangler with turborepo, the hotkey bar is rendered, even tho it's not usable.

### Please provide any relevant error logs

_No response_

Start by reproducing the behavior with Wrangler 3.103.2 and turborepo on macOS, then trace the Wrangler hotkey bar rendering path. Done means the hotkey bar is not rendered when used through turborepo, with coverage for the affected behavior if the relevant test location can be identified.

Written by the indexing model from the issue text.