refactor: rename Yatzi to Zahtzee and update category persistence

- Rename game from "Yatzi" to "Zahtzee" across UI and server registry
- Move game category from tabletop to cards
- Persist last selected menu category using _lastCategory
- Update game-icons asset files

public/src/games/yatzi/YatziGame.js

@@ -135,7 +135,7 @@ export default class YatziGame extends Phaser.Scene {
 
   // ─── Left panel (title + status) ──────────────────────────────────────
   buildLeftPanel() {
-    this.add.text(LEFT_CX, 56, 'Yatzi', {
+    this.add.text(LEFT_CX, 56, 'Zahtzee', {
       fontFamily: 'Righteous', fontSize: '60px', color: COLORS.textHex,
     }).setOrigin(0.5);
 
@@ -220,7 +220,7 @@ export default class YatziGame extends Phaser.Scene {
     this.buildSummaryRow(grid, y, 'Lower subtotal', 'lowerSubtotal', colW);
     y += SC_SUMMARY_H;
     // Yahtzee bonus
-    this.buildSummaryRow(grid, y, 'Yahtzee bonus', 'yahtzeeBonus', colW);
+    this.buildSummaryRow(grid, y, 'Zahtzee bonus', 'yahtzeeBonus', colW);
     y += SC_SUMMARY_H;
     // Grand total
     this.drawRowDivider(grid, y);
@@ -540,7 +540,7 @@ export default class YatziGame extends Phaser.Scene {
 
   showBonusToast() {
     if (this.toastText) this.toastText.destroy();
-    this.toastText = this.add.text(LEFT_CX, 380, '+100 Yahtzee Bonus!', {
+    this.toastText = this.add.text(LEFT_CX, 380, '+100 Zahtzee Bonus!', {
       fontFamily: 'Righteous', fontSize: '32px', color: COLORS.goldHex,
     }).setOrigin(0.5).setDepth(DEPTH.toast);
     this.tweens.add({

public/src/games/yatzi/YatziLogic.js

@@ -33,7 +33,7 @@ export const CATEGORY_LABELS = {
   fullHouse:     'Full House',
   smallStraight: 'Sm. Straight',
   largeStraight: 'Lg. Straight',
-  yahtzee:       'Yahtzee',
+  yahtzee:       'Zahtzee',
   chance:        'Chance',
 };
 

public/src/scenes/GameMenuScene.js

@@ -6,6 +6,8 @@ import { addFullscreenButton } from '../ui/FullscreenButton.js';
 import { playMenuMusic, stopMenuMusic } from '../ui/MenuMusic.js';
 import { TutorialModal } from '../ui/TutorialModal.js';
 
+let _lastCategory = null;
+
 const CATEGORIES = [
   { key: 'tabletop', label: 'Tabletop' },
   { key: 'cards', label: 'Cards & Dice' },
@@ -80,12 +82,14 @@ export default class GameMenuScene extends Phaser.Scene {
       this._tabIcons[key] = icon;
     });
 
-    this.showCategory(activeCats[0].key);
+    const startKey = activeCats.find(c => c.key === _lastCategory) ? _lastCategory : activeCats[0].key;
+    this.showCategory(startKey);
 
     new Button(this, cx, GAME_HEIGHT - 100, 'Back', () => this.scene.start('Landing'), { variant: 'ghost' });
   }
 
   showCategory(key) {
+    _lastCategory = key;
     for (const [k, btn] of Object.entries(this._tabs)) {
       btn.setActive(k === key);
     }

server/games/registry.js

@@ -29,7 +29,7 @@ registerGame({ slug: 'backgammon',      name: 'Backgammon',        category: 'ta
 registerGame({ slug: 'parchisi',        name: 'Parchisi',          category: 'tabletop', minPlayers: 1, maxPlayers: 4, minOpponents: 3, maxOpponents: 3,                       iconFrame:  1 });
 registerGame({ slug: 'blackjack',       name: 'Blackjack',         category: 'casino',   cardGame: true, minPlayers: 1, maxPlayers: 7, minOpponents: 0, maxOpponents: 6,       iconFrame:  2 });
 registerGame({ slug: 'holdem',          name: "Texas Hold 'Em",    category: 'casino',   cardGame: true, minPlayers: 2, maxPlayers: 8, minOpponents: 3, maxOpponents: 7,       iconFrame:  3 });
-registerGame({ slug: 'yatzi',           name: 'Yatzi',             category: 'tabletop', minPlayers: 1, maxPlayers: 4, minOpponents: 1, maxOpponents: 3,                       iconFrame:  4 });
+registerGame({ slug: 'yatzi',           name: 'Zahtzee',           category: 'cards',    minPlayers: 1, maxPlayers: 4, minOpponents: 1, maxOpponents: 3,                       iconFrame:  4 });
 registerGame({ slug: 'skipbo',          name: 'Skip-Bo',           category: 'cards',    cardGame: true, minPlayers: 1, maxPlayers: 4, minOpponents: 1, maxOpponents: 3,       iconFrame:  5 });
 registerGame({ slug: 'phase10',         name: 'Phase 10',          category: 'cards',    cardGame: true, minPlayers: 1, maxPlayers: 4, minOpponents: 1, maxOpponents: 3,       iconFrame:  6 });
 registerGame({ slug: 'chinesecheckers', name: 'Chinese Checkers',  category: 'tabletop', minPlayers: 6, maxPlayers: 6, minOpponents: 5, maxOpponents: 5,                       iconFrame:  7 });