### Godot version

v4.0.beta.custom_build [0abd60b95]

### System information

Windows 10, Vulkan

### Issue description

Autocomplete doesn't work when trying to access a scene node that isn't a direct child of the scene root script, using $NodePath (Shorthand for get_node("NodePath") as per docs).

Example:
![image](https://user-images.githubusercontent.com/115422160/212197922-10e73c9f-de10-475e-ac6e-4163fc5b8013.png)

It worked in Godot 3.5:
![3.5](https://user-images.githubusercontent.com/115422160/212197992-61b67a42-86c6-4650-bab4-c7dfa5a67975.PNG)

I should mention that it works if you start by typing the name of a direct child:
![image](https://user-images.githubusercontent.com/115422160/212198641-6d8e6fca-a2d2-47a7-b627-2df95268daf5.png)

But when you have many nodes in the scene and longer names it's a pain to access the last children like that.


### Steps to reproduce

See above or MRP.

### Minimal reproduction project

[autocomplete bug.zip](https://github.com/godotengine/godot/files/10406695/autocomplete.bug.zip)

remove_text(caret_line, get_caret_column(i), caret_line, get_caret_column(i) + 1);
				adjust_carets_after_edit(i, caret_line, get_caret_column(i), caret_line, get_caret_column(i) + 1);
			}
		} else {
			if (pre_brace_pair != -1 && pre_brace_pair != post_brace_pair && last_char_matches) {
				remove_text(caret_line, get_caret_column(i), caret_line, get_caret_column(i) + 1);
				adjust_carets_after_edit(i, caret_line, get_caret_column(i), caret_line, get_caret_column(i) + 1);
			} else if (auto_brace_completion_enabled && pre_brace_pair != -1) {
				insert_text_at_caret(auto_brace_completion_pairs[pre_brace_pair].close_key, i);
				set_caret_column(get_caret_column(i) - auto_brace_completion_pairs[pre_brace_pair].close_key.length(), i == 0, i);
			}
		}
		if (pre_brace_pair == -1 && post_brace_pair == -1 && get_caret_column(i) > 0 && get_caret_column(i) < get_line(caret_line).length()) {
			pre_brace_pair = _get_auto_brace_pair_open_at_pos(caret_line, get_caret_column(i) + 1);
			if (pre_brace_pair != -1 && pre_brace_pair == _get_auto_brace_pair_close_at_pos(caret_line, get_caret_column(i) - 1)) {
				remove_text(caret_line, get_caret_column(i) - 2, caret_line, get_caret_column(i));
				adjust_carets_after_edit(i, caret_line, get_caret_column(i) - 2, caret_line, get_caret_column(i));
				if (_get_auto_brace_pair_close_at_pos(caret_line, get_caret_column(i) - 1) != pre_brace_pair) {
					set_caret_column(get_caret_column(i) - 1, i == 0, i);
				}
			}
		}
	}
	end_complex_operation();
	cancel_code_completion();
	if (code_completion_prefixes.has(caret_last_completion_char)) {
		request_code_completion();
	}
}
void CodeEdit::cancel_code_completion() {