### Godot version

v4.0.beta14.official

### System information

Windows 11 22H2

### Issue description

There's not much to it, simply noticed that if you have Find or Find+Replace opened in the Script Editor, the Multi-Caret functionality seems to stop working -- forcibly removing all other carets after the first character is typed. I'd expect the Multi-Caret to remain until unselected by clicking elsewhere.

The content of what's in "Find" doesn't matter, it happens regardless.

https://user-images.githubusercontent.com/8159582/214234069-cbcc1681-3f09-4b10-9a90-857cc91d41a7.mp4



### Steps to reproduce

1. Open the Find or Find+Replace tool in the Script Editor _(nothing has to be inputted)_
2. Add multiple mouse cursors with Ctrl+Alt+Click **OR** highlight something and then highlight additional duplicates with Ctrl+D _(or synonymous keyboard shortcuts depending on OS)_.
3. Start typing as if going to add or replace in all locations where the multi-caret is

### Minimal reproduction project

N/A
if (k->is_pressed()) {
			if (ED_IS_SHORTCUT("script_editor/zoom_in", p_event)) {
				_zoom_in();
				accept_event();
			}
			if (ED_IS_SHORTCUT("script_editor/zoom_out", p_event)) {
				_zoom_out();
				accept_event();
			}
			if (ED_IS_SHORTCUT("script_editor/reset_zoom", p_event)) {
				_reset_zoom();
				accept_event();
			}
		}
	}
}
void CodeTextEditor::_zoom_in() {
	font_resize_val += MAX(EDSCALE, 1.0f);
	_zoom_changed();
}
void CodeTextEditor::_zoom_out() {
	font_resize_val -= MAX(EDSCALE, 1.0f);
	_zoom_changed();
}
void CodeTextEditor::_zoom_changed() {
	if (font_resize_timer->get_time_left() == 0) {
		font_resize_timer->start();
	}
}
void CodeTextEditor::_reset_zoom() {