### 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
scroll->set_h_size_flags(SIZE_EXPAND_FILL);
	scroll->set_v_size_flags(SIZE_EXPAND_FILL);
	scroll->set_vertical_scroll_mode(ScrollContainer::SCROLL_MODE_DISABLED);
	status_bar->add_child(scroll);
	error = memnew(Label);
	scroll->add_child(error);
	error->set_v_size_flags(SIZE_EXPAND | SIZE_SHRINK_CENTER);
	error->set_mouse_filter(MOUSE_FILTER_STOP);
	error->connect("gui_input", callable_mp(this, &CodeTextEditor::_error_pressed));
	
	error_button = memnew(Button);
	error_button->set_flat(true);
	status_bar->add_child(error_button);
	error_button->set_v_size_flags(SIZE_EXPAND | SIZE_SHRINK_CENTER);
	error_button->set_default_cursor_shape(CURSOR_POINTING_HAND);
	error_button->connect("pressed", callable_mp(this, &CodeTextEditor::_error_button_pressed));
	error_button->set_tooltip_text(TTR("Errors"));
	set_error_count(0);
	
	warning_button = memnew(Button);
	warning_button->set_flat(true);
	status_bar->add_child(warning_button);
	warning_button->set_v_size_flags(SIZE_EXPAND | SIZE_SHRINK_CENTER);
	warning_button->set_default_cursor_shape(CURSOR_POINTING_HAND);
	warning_button->connect("pressed", callable_mp(this, &CodeTextEditor::_warning_button_pressed));
	warning_button->set_tooltip_text(TTR("Warnings"));
	set_warning_count(0);
	
	line_and_col_txt = memnew(Label);
	status_bar->add_child(line_and_col_txt);