Gladiator arena: gold economy, outfitting shop, permadeath runs

Turns the sandbox into a survival roguelike loop: outfit your gladiator
with banked gold, enter the arena, earn gold from kills and wave clears,
die, keep 10% of your total value (floored at the 500 fresh-start).

Economy (GameState autoload):
- banked_gold, owned items, and loadout persist to user://save.cfg
- Kill gold (basic 10g, armed 25g) credited server-side to the killer
- Wave-clear bonus (25 + 5/wave) for all players; wave synced to peers
- Death settlement liquidates gear, guarded against double-fire

Character creation / shop:
- Menu reframed: armory shop + live Character Sheet loadout preview
- Character Sheet gains preview mode (renders from loadout, no player)
- Buy/Equip with hand rules; two-handers and off-hands displace each
  other symmetrically (shop and in-game pickups)
- Chosen loadout auto-equips on spawn via existing RPC path

Combat feel:
- Attacks snap to camera facing and lock direction for the swing
- Dash commits to its direction for the full duration
- Weapon slots show name text when no icon is set
- Hitbox/hurtbox debug meshes hidden by default (H toggles)

Death is final: players no longer respawn; a results screen shows waves,
time, kills, and the settlement, then returns to camp. Armed enemies no
longer respawn (were an infinite gold farm and respawned invisible).

level/ui/scripts/hud_manager.gd

@@ -10,6 +10,7 @@ var character_sheet: Control = null
 var tab_hint: Control = null
 var keybind_hint: Control = null
 var escape_menu: Control = null
+var run_results: Control = null
 
 # Player reference
 var local_player: Character = null
@@ -157,6 +158,26 @@ func show_hud():
 func hide_hud():
 	hide()
 
+## Tear down all UI components (used when returning to the menu after a run).
+## The HUD is an autoload, so its children survive scene reloads unless freed.
+func reset():
+	if local_player and is_instance_valid(local_player):
+		_disconnect_player_signals()
+	local_player = null
+
+	for child in get_children():
+		child.queue_free()
+
+	action_bar = null
+	unit_frame = null
+	target_frame = null
+	character_sheet = null
+	tab_hint = null
+	keybind_hint = null
+	escape_menu = null
+	run_results = null
+	print("[HUD] Reset - all UI components removed")
+
 ## Player signal callbacks
 func _on_player_health_changed(old_health: float, new_health: float):
 	# Update unit frame
@@ -164,8 +185,21 @@ func _on_player_health_changed(old_health: float, new_health: float):
 		unit_frame.update_health(new_health, local_player.max_health)
 
 func _on_player_died(killer_id: int):
-	print("[HUD] Player died")
-	# Could show death screen or respawn timer here
+	print("[HUD] Player died - ending run")
+	_show_run_results()
+
+## End the local player's run and show the results screen.
+## GameState.end_run() is guarded against double-calls (died can fire twice on host).
+func _show_run_results():
+	if run_results and is_instance_valid(run_results):
+		return  # Already showing
+
+	var stats = GameState.end_run()
+
+	var results_script = load("res://level/ui/scripts/run_results.gd")
+	run_results = results_script.new()
+	run_results.setup(stats)
+	add_child(run_results)
 
 func _on_player_respawned():
 	print("[HUD] Player respawned")