Initial scaffold: AI Tycoon monorepo with core game loop

Turborepo monorepo with three packages:
- packages/shared: TypeScript types for all 14 game systems + balance constants + formatting utils
- packages/game-engine: Pure TS simulation engine with tick processor, economy, infrastructure, compute, research, market, and reputation systems
- apps/web: React + Vite + Tailwind + Zustand frontend with sidebar dashboard layout, new game screen, dashboard with charts, infrastructure management, and model training pages

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

packages/game-engine/src/tick.ts

@@ -0,0 +1,33 @@
+import type { GameState } from '@ai-tycoon/shared';
+import { processEconomy } from './systems/economySystem';
+import { processInfrastructure } from './systems/infrastructureSystem';
+import { processCompute } from './systems/computeSystem';
+import { processResearch } from './systems/researchSystem';
+import { processMarket } from './systems/marketSystem';
+import { processReputation } from './systems/reputationSystem';
+
+export function processTick(state: GameState): Partial<GameState> {
+  const infrastructure = processInfrastructure(state);
+  const compute = processCompute(state, infrastructure);
+  const research = processResearch(state, compute);
+  const market = processMarket(state, compute);
+  const reputation = processReputation(state);
+  const economy = processEconomy(state, market, infrastructure);
+
+  const tickCount = state.meta.tickCount + 1;
+
+  return {
+    meta: {
+      ...state.meta,
+      tickCount,
+      lastTickTimestamp: Date.now(),
+      totalPlayTime: state.meta.totalPlayTime + 1,
+    },
+    economy,
+    infrastructure,
+    compute,
+    research,
+    market: market.marketState,
+    reputation,
+  };
+}