### 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
switch (p_what) {
		case NOTIFICATION_ENTER_TREE: {
			_update_status_bar_theme();
		} break;
		case NOTIFICATION_THEME_CHANGED: {
			_update_status_bar_theme();
			if (toggle_scripts_button->is_visible()) {
				update_toggle_scripts_button();
			}
			_update_text_editor_theme();
		} break;
		case NOTIFICATION_VISIBILITY_CHANGED: {
			if (toggle_scripts_button->is_visible()) {
				update_toggle_scripts_button();
			}
			set_process_input(is_visible_in_tree());
		} break;
		case NOTIFICATION_PREDELETE: {
			if (find_replace_bar) {
				find_replace_bar->set_text_edit(nullptr);
			}
		} break;
	}
}
void CodeTextEditor::set_error_count(int p_error_count) {