[Sync Input] Synced screens don't handle Quick Command replacement properly

Description:

When using Sync Input in combination with Quick Command, synced screens do not replicate the behavior correctly compared to typing directly in the active screen.

Steps to Reproduce:

Enable Sync Input across multiple screens/tabs.

In one screen, type a few characters to trigger the Quick Command popup.

Press Enter to select a Quick Command.

Observe the behavior on the other synced screens.

Expected Behavior: The synced screens should behave the same as the screen where the input was made — i.e., the typed characters should be replaced by the selected Quick Command.

Actual Behavior: On the synced screens, the typed characters are not replaced. Instead, the result is the originally typed characters plus the selected Quick Command appended after them.

Example:

Type abc → Quick Command popup appears

Press Enter to select a Quick Command (e.g., hello)

Active screen: hello (characters replaced ✅)

Synced screens: abchello (characters not replaced ❌)

Number of synced screens: [e.g., 1+]

Additional Context: This issue makes Sync Input unreliable when using Quick Command, since synced screens end up with inconsistent and incorrect input.