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/systems/researchSystem.ts

@@ -0,0 +1,29 @@
+import type { GameState, ResearchState, ComputeState } from '@ai-tycoon/shared';
+
+export function processResearch(state: GameState, compute: ComputeState): ResearchState {
+  const active = state.research.activeResearch;
+  if (!active) return state.research;
+
+  const researcherBoost = state.talent.departments.research.headcount *
+    state.talent.departments.research.effectiveness;
+  const speedMultiplier = 1 + researcherBoost * 0.1;
+
+  const newProgress = active.progressTicks + speedMultiplier;
+
+  if (newProgress >= active.totalTicks) {
+    return {
+      ...state.research,
+      completedResearch: [...state.research.completedResearch, active.researchId],
+      activeResearch: null,
+      researchPoints: state.research.researchPoints + 1,
+    };
+  }
+
+  return {
+    ...state.research,
+    activeResearch: {
+      ...active,
+      progressTicks: newProgress,
+    },
+  };
+}