### 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
ADD_SIGNAL(MethodInfo("button_clicked", PropertyInfo(Variant::OBJECT, "item", PROPERTY_HINT_RESOURCE_TYPE, "TreeItem"), PropertyInfo(Variant::INT, "column"), PropertyInfo(Variant::INT, "id"), PropertyInfo(Variant::INT, "mouse_button_index")));
	ADD_SIGNAL(MethodInfo("custom_popup_edited", PropertyInfo(Variant::BOOL, "arrow_clicked")));
	ADD_SIGNAL(MethodInfo("item_activated"));
	ADD_SIGNAL(MethodInfo("column_title_clicked", PropertyInfo(Variant::INT, "column"), PropertyInfo(Variant::INT, "mouse_button_index")));
	ADD_SIGNAL(MethodInfo("nothing_selected"));
	BIND_ENUM_CONSTANT(SELECT_SINGLE);
	BIND_ENUM_CONSTANT(SELECT_ROW);
	BIND_ENUM_CONSTANT(SELECT_MULTI);
	BIND_ENUM_CONSTANT(DROP_MODE_DISABLED);
	BIND_ENUM_CONSTANT(DROP_MODE_ON_ITEM);
	BIND_ENUM_CONSTANT(DROP_MODE_INBETWEEN);
}
Tree::Tree() {
	columns.resize(1);
	set_focus_mode(FOCUS_ALL);
	popup_menu = memnew(PopupMenu);
	popup_menu->hide();
	add_child(popup_menu, false, INTERNAL_MODE_FRONT);
	popup_editor = memnew(Popup);
	add_child(popup_editor, false, INTERNAL_MODE_FRONT);
	popup_editor_vb = memnew(VBoxContainer);
	popup_editor_vb->add_theme_constant_override("separation", 0);
	popup_editor_vb->set_anchors_and_offsets_preset(PRESET_FULL_RECT);
	popup_editor->add_child(popup_editor_vb);
	line_editor = memnew(LineEdit);
	line_editor->set_v_size_flags(SIZE_EXPAND_FILL);
	line_editor->hide();
	popup_editor_vb->add_child(line_editor);
	text_editor = memnew(TextEdit);
	text_editor->set_v_size_flags(SIZE_EXPAND_FILL);