### 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
int draw_item(const Point2i &p_pos, const Point2 &p_draw_ofs, const Size2 &p_draw_size, TreeItem *p_item, int &r_self_height);
	void select_single_item(TreeItem *p_selected, TreeItem *p_current, int p_col, TreeItem *p_prev = nullptr, bool *r_in_range = nullptr, bool p_force_deselect = false);
	int propagate_mouse_event(const Point2i &p_pos, int x_ofs, int y_ofs, int x_limit, bool p_double_click, TreeItem *p_item, MouseButton p_button, const Ref<InputEventWithModifiers> &p_mod);
	void _line_editor_submit(String p_text);
	void _apply_multiline_edit();
	void _text_editor_popup_modal_close();
	void _text_editor_gui_input(const Ref<InputEvent> &p_event);
	void value_editor_changed(double p_value);
	void popup_select(int p_option);
	void _notification(int p_what);
	void item_edited(int p_column, TreeItem *p_item, MouseButton p_custom_mouse_index = MouseButton::NONE);
	void item_changed(int p_column, TreeItem *p_item);
	void item_selected(int p_column, TreeItem *p_item);
	void item_deselected(int p_column, TreeItem *p_item);
	void propagate_set_columns(TreeItem *p_item);
	struct ThemeCache {
		Ref<StyleBox> panel_style;
		Ref<StyleBox> focus_style;
		Ref<Font> font;
		Ref<Font> tb_font;
		int font_size = 0;
		int tb_font_size = 0;
		Ref<StyleBox> selected;
		Ref<StyleBox> selected_focus;
		Ref<StyleBox> cursor;
		Ref<StyleBox> cursor_unfocus;
		Ref<StyleBox> button_pressed;
		Ref<StyleBox> title_button;
		Ref<StyleBox> title_button_hover;
		Ref<StyleBox> title_button_pressed;