### 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 button_margin = 0;
		int icon_max_width = 0;
		Point2 offset;
		int draw_relationship_lines = 0;
		int relationship_line_width = 0;
		int parent_hl_line_width = 0;
		int children_hl_line_width = 0;
		int parent_hl_line_margin = 0;
		int draw_guides = 0;
		int scroll_border = 0;
		int scroll_speed = 0;
		int scrollbar_margin_top = -1;
		int scrollbar_margin_right = -1;
		int scrollbar_margin_bottom = -1;
		int scrollbar_margin_left = -1;
		int scrollbar_h_separation = 0;
		int scrollbar_v_separation = 0;
	} theme_cache;
	struct Cache {
		enum ClickType {
			CLICK_NONE,
			CLICK_TITLE,
			CLICK_BUTTON,
		};
		ClickType click_type = Cache::CLICK_NONE;
		ClickType hover_type = Cache::CLICK_NONE;
		int click_index = -1;
		int click_id = -1;
		TreeItem *click_item = nullptr;
		int click_column = 0;