Rework the gate: smaller, right at the border, locked until ready, Yes/No prompt

- Moved GateToCenter to sit right on the region-1/center table-edge
  border (angle 30° bisector, radius ~13.2, where that edge's chord
  actually sits) instead of a few units inside the region, and scaled
  the instance down to 0.5x.
- target_position now lands just past the border on the table side
  (radius ~11.5 at the same angle) instead of teleporting to the
  absolute island center — "you walked through the gate," not "you
  warped across the map."
- Gate is now genuinely non-interactive while locked: no prompt shown,
  _input() doesn't even check for the key press, and the marker shows
  "Verschlossen" instead of its real name (mirrors poi.gd's existing
  "???" pattern for undiscovered POIs).
- Once unlocked, interacting opens a "Durchgehen?" Ja/Nein menu
  instead of teleporting immediately. Added
  InteractionManager.handle_interaction_action() delegation so POIs
  can own custom menu actions without hardcoding them into the shared
  manager.

Verified headless: locked state hides the prompt and shows
"Verschlossen"; unlocking (all 6 region1_pois visited) restores the
real name and prompt; "Nein" leaves the player position untouched;
"Ja" moves the player to exactly target_position.

interaction_manager.gd

@@ -27,6 +27,10 @@ func handle_selection(action: String) -> void:
 			InteractionUI.show_text("Du rastest eine Weile...\nDu fühlst dich erholt.")
 		"close":
 			close()
+		_:
+			# POI-spezifische Aktionen (z.B. Ja/Nein bei einem Portal)
+			if current_poi and current_poi.has_method("handle_interaction_action"):
+				current_poi.handle_interaction_action(action)
 
 # Für POIs außerhalb des generischen Menüs (z.B. Portale): Panel mit reinem
 # Info-Text öffnen, ohne die Erkunden/Ausruhen/Beenden-Optionen.

main.tscn

@@ -237,9 +237,9 @@ poi_name = "Ort 6"
 marker_color = Color(0.7, 0.3, 0.9, 1)
 
 [node name="GateToCenter" parent="." instance=ExtResource("5_gate")]
-transform = Transform3D(1, 0, 0, 0, 1, 0, 0, 0, 1, 14.72, 0.157, 8.5)
+transform = Transform3D(0.5, 0, 0, 0, 0.5, 0, 0, 0, 0.5, 11.4315, 0.3, 6.6)
 poi_name = "Tor zur Mitte"
-target_position = Vector3(0, 0.5, 0)
+target_position = Vector3(9.959, 0.5, 5.75)
 
 [node name="Node3D" type="Node3D" parent="." unique_id=597556846]
 transform = Transform3D(0.1, 0, 0, 0, 0.1, 0, 0, 0, 0.1, 3.6214647, -0.23645921, 0.47627413)

poi_gate.gd

@@ -1,6 +1,7 @@
 extends Area3D
 
 @export var poi_name: String = "Tor zur Mitte"
+@export var locked_name: String = "Verschlossen"
 @export var marker_color: Color = Color(1.0, 0.9, 0.4)
 @export var required_group: String = "region1_pois"
 @export var target_position: Vector3 = Vector3.ZERO
@@ -14,7 +15,6 @@ var player_nearby: bool = false
 func _ready() -> void:
 	prompt.visible = false
 	prompt.text = "[F] Interact"
-	name_label.text = poi_name
 	_update_visuals()
 	body_entered.connect(_on_body_entered)
 	body_exited.connect(_on_body_exited)
@@ -31,14 +31,17 @@ func _all_required_visited() -> bool:
 func _update_visuals() -> void:
 	if _all_required_visited():
 		sprite.modulate = marker_color
+		name_label.text = poi_name
 	else:
-		sprite.modulate = marker_color * Color(0.4, 0.4, 0.4, 1.0)
+		sprite.modulate = marker_color * Color(0.35, 0.35, 0.35, 1.0)
+		name_label.text = locked_name
 
 func _on_body_entered(body: Node3D) -> void:
 	if body.is_in_group("player"):
 		player_nearby = true
-		prompt.visible = true
 		_update_visuals()
+		# Verschlossen: nicht ansprechbar, kein Prompt
+		prompt.visible = _all_required_visited()
 
 func _on_body_exited(body: Node3D) -> void:
 	if body.is_in_group("player"):
@@ -46,14 +49,20 @@ func _on_body_exited(body: Node3D) -> void:
 		prompt.visible = false
 
 func _input(event: InputEvent) -> void:
-	if player_nearby and Input.is_action_just_pressed("interact"):
-		_try_transition()
+	if player_nearby and _all_required_visited() and Input.is_action_just_pressed("interact"):
+		InteractionManager.active = true
+		InteractionManager.current_poi = self
+		InteractionUI.show_menu("Durchgehen?", [
+			{ "label": "Ja",   "action": "gate_yes" },
+			{ "label": "Nein", "action": "gate_no"  },
+		])
 
-func _try_transition() -> void:
-	if _all_required_visited():
-		InteractionManager.open_message(self, poi_name, "Du betrittst die Mitte der Insel.")
+func handle_interaction_action(action: String) -> void:
+	match action:
+		"gate_yes":
 			var player := get_tree().get_first_node_in_group("player")
 			if player:
 				player.global_position = target_position
-	else:
-		InteractionManager.open_message(self, poi_name, "Hier geht es noch nicht weiter.\nErst müssen alle sechs Orte dieser Region erkundet sein.")
+			InteractionManager.close()
+		"gate_no":
+			InteractionManager.close()