### 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
EditorSettings::get_singleton()->set("interface/editor/code_font_size", 14);
	text_editor->add_theme_font_size_override("font_size", 14 * EDSCALE);
}
void CodeTextEditor::_line_col_changed() {
	if (!code_complete_timer->is_stopped() && code_complete_timer_line != text_editor->get_caret_line()) {
		code_complete_timer->stop();
	}
	String line = text_editor->get_line(text_editor->get_caret_line());
	int positional_column = 0;
	for (int i = 0; i < text_editor->get_caret_column(); i++) {
		if (line[i] == '\t') {
			positional_column += text_editor->get_indent_size(); 
		} else {
			positional_column += 1;
		}
	}
	StringBuilder sb;
	sb.append(itos(text_editor->get_caret_line() + 1).lpad(4));
	sb.append(" : ");
	sb.append(itos(positional_column + 1).lpad(3));
	line_and_col_txt->set_text(sb.as_string());
	if (find_replace_bar) {
		if (!find_replace_bar->line_col_changed_for_result) {
			find_replace_bar->needs_to_count_results = true;
		}
		find_replace_bar->line_col_changed_for_result = false;
	}
}
void CodeTextEditor::_text_changed() {