extract the shared Centroid helper into ai/Centroid.h

src/lib/ecs/system/ai/Centroid.h

@@ -0,0 +1,26 @@
+#pragma once
+
+#include <optional>
+
+#include <QVector2D>
+
+// Accumulates positions to produce their centroid (the center between them).
+// Shared by the behavior executors that steer toward the middle of a group of
+// entities (AdvanceExecutor: defence stations; StandbyExecutor: friendly ships).
+struct Centroid
+{
+    QVector2D sum;
+    int       count = 0;
+
+    void add(const QVector2D& point)
+    {
+        sum += point;
+        count += 1;
+    }
+
+    std::optional<QVector2D> value() const
+    {
+        if (count == 0) { return std::nullopt; }
+        return sum / static_cast<float>(count);
+    }
+};