Standard (non-AI) suggestions menu doesn't trigger unless AI completions are snoozed

Does this issue occur when all extensions are disabled?: n/a (Copilot is an extension)

- VS Code Version: 1.128.0-insider (user setup)
- OS Version: Windows 11 Pro

Steps to Reproduce:

1. Make sure Copilot inline suggestions are active, not snoozed.
2. Write some code that would trigger the suggest popup:
```ts
const foo = 1;
fo // <-- Start typing 'foo'; suggestions popup should display to assist completion to `foo`
```
https://github.com/user-attachments/assets/accb4018-a65a-4155-90b2-41292a9acb1a

3. Now snooze Copilot inline suggestions and repeat step 2. The suggestions popup triggers just fine.

https://github.com/user-attachments/assets/cc995aad-be88-4490-b784-7fb7a826a584