### 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
const int cell_h = compute_item_height(selected_item) + theme_cache.v_separation;
		int screen_h = area_size.height - tbh;
		if (cell_h > screen_h) { 
			v_scroll->set_value(y_offset);
		} else if (y_offset + cell_h > v_scroll->get_value() + screen_h) {
			v_scroll->call_deferred(SNAME("set_value"), y_offset - screen_h + cell_h);
		} else if (y_offset < v_scroll->get_value()) {
			v_scroll->set_value(y_offset);
		}
	}
	if (select_mode != SELECT_ROW) { 
		int x_offset = 0;
		for (int i = 0; i < selected_col; i++) {
			x_offset += get_column_width(i);
		}
		const int cell_w = get_column_width(selected_col);
		const int screen_w = area_size.width;
		if (cell_w > screen_w) {
			h_scroll->set_value(x_offset);
		} else if (x_offset + cell_w > h_scroll->get_value() + screen_w) {
			h_scroll->call_deferred(SNAME("set_value"), x_offset - screen_w + cell_w);
		} else if (x_offset < h_scroll->get_value()) {
			h_scroll->set_value(x_offset);
		}
	}
}
int Tree::get_pressed_button() const {
	return pressed_button;
}
Rect2 Tree::get_item_rect(TreeItem *p_item, int p_column, int p_button) const {