### 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
text_editor->begin_complex_operation();
	Vector<int> caret_edit_order = text_editor->get_caret_index_edit_order();
	
	Vector<Vector<int>> caret_groups;
	Vector<Pair<int, int>> group_borders;
	
	for (int i = 0; i < caret_edit_order.size(); i++) {
		int c = caret_edit_order[i];
		Vector<int> new_group{ c };
		Pair<int, int> group_border;
		if (text_editor->has_selection(c)) {
			group_border.first = text_editor->get_selection_from_line(c);
			group_border.second = text_editor->get_selection_to_line(c);
		} else {
			group_border.first = text_editor->get_caret_line(c);
			group_border.second = text_editor->get_caret_line(c);
		}
		for (int j = i; j < caret_edit_order.size() - 1; j++) {
			int c_current = caret_edit_order[j];
			int c_next = caret_edit_order[j + 1];
			int next_start_pos = text_editor->has_selection(c_next) ? text_editor->get_selection_from_line(c_next) : text_editor->get_caret_line(c_next);
			int next_end_pos = text_editor->has_selection(c_next) ? text_editor->get_selection_to_line(c_next) : text_editor->get_caret_line(c_next);