Project selector loses focus after mouse move

### Environment

SaaS (https://sentry.io/)

### Steps to Reproduce

Repro steps:
If you type then move the mouse, the input loses focus, so if you then continue to type, nothing happens

### Expected Result

User should be able to type without the project selector losing focus

### Actual Result

https://github.com/getsentry/sentry/assets/82916311/ba9db8b8-c3d5-441b-98af-226e1e808538

### Product Area

Issues

### Link

_No response_

### DSN

_No response_

### Version

_No response_