### 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->clear_executing_lines();
}
Variant CodeTextEditor::get_edit_state() {
	Dictionary state;
	state.merge(get_navigation_state());
	state["folded_lines"] = text_editor->get_folded_lines();
	state["breakpoints"] = text_editor->get_breakpointed_lines();
	state["bookmarks"] = text_editor->get_bookmarked_lines();
	Ref<EditorSyntaxHighlighter> syntax_highlighter = text_editor->get_syntax_highlighter();
	state["syntax_highlighter"] = syntax_highlighter->_get_name();
	return state;
}
void CodeTextEditor::set_edit_state(const Variant &p_state) {
	Dictionary state = p_state;
	
	text_editor->set_caret_line(state["row"]);
	text_editor->set_caret_column(state["column"]);
	text_editor->set_v_scroll(state["scroll_position"]);
	text_editor->set_h_scroll(state["h_scroll_position"]);
	if (state.get("selection", false)) {
		text_editor->select(state["selection_from_line"], state["selection_from_column"], state["selection_to_line"], state["selection_to_column"]);
	} else {
		text_editor->deselect();
	}
	if (state.has("folded_lines")) {
		Vector<int> folded_lines = state["folded_lines"];
		for (int i = 0; i < folded_lines.size(); i++) {
			text_editor->fold_line(folded_lines[i]);
		}