### Godot version

4.1 Beta 3

### System information

Win10

### Issue description

In the Godot 4.1. Beta3 Scene Panel, node names are overlapping the icons to the right. Like visibility icons, script icons ...
Especially apparent with longer node names:

https://github.com/godotengine/godot/assets/47016402/61cc8c75-efe5-4cfa-ac4f-5fcd4805140b

This is _not_ an issue in Godot 4.0.3:

https://github.com/godotengine/godot/assets/47016402/4035ea3f-80bd-479d-9d6f-761debdd6b49



### Steps to reproduce

Give long node names and resize the Scene Panel

### Minimal reproduction project

N/A
float drag_accum = 0.0;
	Vector2 last_speed;
	bool drag_touching = false;
	bool drag_touching_deaccel = false;
	bool click_handled = false;
	bool allow_rmb_select = false;
	bool scrolling = false;
	bool allow_reselect = false;
	bool allow_search = true;
	bool force_edit_checkbox_only_on_checkbox = false;
	bool hide_folding = false;
	bool enable_recursive_folding = true;
	int _count_selected_items(TreeItem *p_from) const;
	bool _is_branch_selected(TreeItem *p_from) const;
	bool _is_sibling_branch_selected(TreeItem *p_from) const;
	void _go_left();
	void _go_right();
	void _go_down();
	void _go_up();
	bool _scroll(bool p_horizontal, float p_pages);
	Rect2 _get_scrollbar_layout_rect() const;
	Rect2 _get_content_rect() const; 
protected:
	virtual void _update_theme_item_cache() override;
	static void _bind_methods();
public:
	virtual void gui_input(const Ref<InputEvent> &p_event) override;
	virtual String get_tooltip(const Point2 &p_pos) const override;
	TreeItem *get_item_at_position(const Point2 &p_pos) const;
	int get_column_at_position(const Point2 &p_pos) const;