Introduce LocalGame logic and integrate with LocalMode rendering.

GUI/src/scripts/logic/localMode/LocalGame.ts

@@ -0,0 +1,25 @@
+import type { FieldSize } from '@/scripts/interfaces/FieldSize.ts'
+
+class LocalGame {
+  public field: number[][]
+
+  private currentPlayer: number = 1;
+  constructor(fieldSize: FieldSize) {
+    this.field = Array.from({ length: fieldSize.y }, () => Array(fieldSize.x).fill(0))
+  }
+
+  place(locationX: number): void {
+    for (let y = this.field.length - 1; y >= 0; y--) {
+      const row = this.field[y]
+
+      if (row && row[locationX] === 0) {
+        row[locationX] = this.currentPlayer
+        break
+      }
+    }
+
+    this.currentPlayer = this.currentPlayer === 1 ? 2 : 1
+  }
+}
+
+export default LocalGame