### Godot version

4.0.2

### System information

Windows 11

### Issue description

Double clicking on `$MyNode` in the script editor will select the whole name including the "$".

But double clicking on `%MyNode` (unique name) will select the name but will not include the "%".

Dragging a node from the scene tree into the script editor brings up the property/method hint list, even though a "." has not been typed. Pressing enter appends "new()" even though this makes no sense as there is no period so it is just appending it directly to the node name: `$MyNodenew()`


### Steps to reproduce

Type `%MyNode` in a script and double click on it.

Type `@onready var x =` in a script, drag a node from the scene tree, then press enter.


### Minimal reproduction project

N/A
int matching_chars = code_completion_base.length();
			for (; matching_chars <= insert_text.length(); matching_chars++) {
				if (caret_col >= line.length() || line[caret_col] != insert_text[matching_chars]) {
					break;
				}
				caret_col++;
			}
			
			remove_text(caret_line, get_caret_column(i) - code_completion_base.length(), caret_line, get_caret_column(i));
			adjust_carets_after_edit(i, caret_line, get_caret_column(i) - code_completion_base.length(), caret_line, get_caret_column(i));
			set_caret_column(get_caret_column(i) - code_completion_base.length(), false, i);
			
			insert_text_at_caret(insert_text.substr(0, code_completion_base.length()), i);
			set_caret_column(caret_col, false, i);
			insert_text_at_caret(insert_text.substr(matching_chars), i);
		}
		
		const String line = get_line(caret_line);
		char32_t next_char = line[get_caret_column(i)];
		char32_t last_completion_char = insert_text[insert_text.length() - 1];
		if (i == 0) {
			caret_last_completion_char = last_completion_char;
		}
		char32_t last_completion_char_display = display_text[display_text.length() - 1];
		bool last_char_matches = (last_completion_char == next_char || last_completion_char_display == next_char);
		int pre_brace_pair = get_caret_column(i) > 0 ? _get_auto_brace_pair_open_at_pos(caret_line, get_caret_column(i)) : -1;
		int post_brace_pair = get_caret_column(i) < get_line(caret_line).length() ? _get_auto_brace_pair_close_at_pos(caret_line, get_caret_column(i)) : -1;
		
		if (has_string_delimiter(String::chr(last_completion_char))) {
			if (post_brace_pair != -1 && last_char_matches) {