### 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
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);
			int current_start_pos = text_editor->has_selection(c_current) ? text_editor->get_selection_from_line(c_current) : text_editor->get_caret_line(c_current);
			i = j;
			if (next_end_pos != current_start_pos && next_end_pos + 1 != current_start_pos) {
				break;
			}
			group_border.first = next_start_pos;
			new_group.push_back(c_next);
			
			if (j + 1 == caret_edit_order.size() - 1) {
				i++;
			}
		}
		group_borders.push_back(group_border);
		caret_groups.push_back(new_group);
	}
	for (int i = group_borders.size() - 1; i >= 0; i--) {
		if (group_borders[i].first - 1 < 0) {
			continue;
		}
		
		if (i < group_borders.size() - 1 && group_borders[i].first - 1 <= group_borders[i + 1].second) {
			continue;
		}
		
		Vector<Vector<int>> caret_group_parameters;
		for (int j = 0; j < caret_groups[i].size(); j++) {
			int c = caret_groups[i][j];
			int cursor_line = text_editor->get_caret_line(c);
			int cursor_column = text_editor->get_caret_column(c);