feat: initial elysium idle game prototype

Sets up the full monorepo with pnpm workspaces. Includes shared types
package, Hono API with Discord OAuth/JWT auth, Prisma v6 + MongoDB
Atlas, and React + Vite frontend with game loop, five tabs, and
Discord-linked save/load.

apps/api/src/data/initialState.ts

@@ -0,0 +1,34 @@
+import type { GameState, Player, PrestigeData } from "@elysium/types";
+import { DEFAULT_ADVENTURERS } from "./adventurers.js";
+import { DEFAULT_BOSSES } from "./bosses.js";
+import { DEFAULT_QUESTS } from "./quests.js";
+import { DEFAULT_UPGRADES } from "./upgrades.js";
+
+export const INITIAL_PRESTIGE: PrestigeData = {
+  count: 0,
+  runestones: 0,
+  productionMultiplier: 1,
+  purchasedUpgradeIds: [],
+};
+
+export const INITIAL_GAME_STATE = (player: Player, characterName: string): GameState => ({
+  player: {
+    ...player,
+    characterName,
+    totalGoldEarned: 0,
+    totalClicks: 0,
+  },
+  resources: {
+    gold: 0,
+    essence: 0,
+    crystals: 0,
+    runestones: 0,
+  },
+  adventurers: structuredClone(DEFAULT_ADVENTURERS),
+  upgrades: structuredClone(DEFAULT_UPGRADES),
+  quests: structuredClone(DEFAULT_QUESTS),
+  bosses: structuredClone(DEFAULT_BOSSES),
+  prestige: INITIAL_PRESTIGE,
+  baseClickPower: 1,
+  lastTickAt: Date.now(),
+});