### 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->remove_secondary_carets();
	bool selection_enabled = text_editor->has_selection(0);
	Point2i selection_begin, selection_end;
	if (selection_enabled) {
		selection_begin = Point2i(text_editor->get_selection_from_line(0), text_editor->get_selection_from_column(0));
		selection_end = Point2i(text_editor->get_selection_to_line(0), text_editor->get_selection_to_column(0));
	}
	String repl_text = get_replace_text();
	int search_text_len = get_search_text().length();
	text_editor->begin_complex_operation();
	if (selection_enabled && is_selection_only()) { 
		text_editor->set_caret_line(selection_begin.width, false, true, 0, 0);
		text_editor->set_caret_column(selection_begin.height, true, 0);
	}
	if (search_current()) {
		text_editor->unfold_line(result_line);
		text_editor->select(result_line, result_col, result_line, result_col + search_text_len, 0);
		if (selection_enabled && is_selection_only()) {
			Point2i match_from(result_line, result_col);
			Point2i match_to(result_line, result_col + search_text_len);
			if (!(match_from < selection_begin || match_to > selection_end)) {
				text_editor->insert_text_at_caret(repl_text, 0);
				if (match_to.x == selection_end.x) { 
					selection_end.y += repl_text.length() - search_text_len;
				}
			}
		} else {
			text_editor->insert_text_at_caret(repl_text, 0);