[Bug]: sp-overlay forces focus on trigger after closing on type hover

### Code of conduct

- [x] I agree to follow this project's code of conduct.

### Impacted component(s)

sp-overlay

### Library version

1.10.0

### Expected behavior

trigger should not get focus-visible after closing a hover type overlay

### Actual behavior

trigger gets focus-visible after closing a hover type overlay

### Screenshots

_No response_

### What browsers are you seeing the problem in?

Chrome

### How can we reproduce this issue?

1. Go [here](https://stackblitz.com/edit/vitejs-vite-nh1jvmxh?file=src%2Fmy-element.ts)
2. Hover on button to trigger the tooltip
3. Move the mouse somewhere else
4. Check how the button is now focus-visible

### Sample code or abstract reproduction which illustrates the problem

_No response_

### Severity

None

### Logs taken while reproducing problem

_No response_

### Would you like to track this issue in Jira?

- [ ] Yes, please tell me the ticket number!

Start with the sp-overlay component and reproduce the behavior using the linked StackBlitz example in Chrome: hover the button to open the tooltip, then move the mouse away. Trace the hover overlay's closing and trigger-focus behavior; done means closing the hover overlay no longer leaves the trigger focus-visible.

Written by the indexing model from the issue text.