feat: add titles system with unlock tracking and character sheet display

Titles are earned by reaching milestones (quests, bosses, gold, clicks,
adventurers, guild, prestige, transcendence, apotheosis, achievements,
longevity) and are permanent - never lost on prestige/transcendence/
apotheosis resets. 20 titles available at launch.

Also fixes a pre-existing P2034 write-conflict on the load backfill path
and the exactOptionalPropertyTypes violation in the quest failure handler.

apps/api/src/data/titles.ts

@@ -0,0 +1,135 @@
+import type { Title } from "@elysium/types";
+
+export const TITLES: Title[] = [
+  // Quest milestones
+  {
+    id: "the_adventurous",
+    name: "The Adventurous",
+    description: "Complete your first quest.",
+    condition: { type: "questsCompleted", amount: 1 },
+  },
+  {
+    id: "the_persistent",
+    name: "The Persistent",
+    description: "Complete 100 quests in a single run.",
+    condition: { type: "questsCompleted", amount: 100 },
+  },
+  // Boss milestones
+  {
+    id: "boss_slayer",
+    name: "Boss Slayer",
+    description: "Defeat your first boss.",
+    condition: { type: "bossesDefeated", amount: 1 },
+  },
+  {
+    id: "dungeon_master",
+    name: "Dungeon Master",
+    description: "Defeat 10 bosses in a single run.",
+    condition: { type: "bossesDefeated", amount: 10 },
+  },
+  // Gold milestones
+  {
+    id: "the_wealthy",
+    name: "The Wealthy",
+    description: "Earn 1,000,000 gold in a single run.",
+    condition: { type: "totalGoldEarned", amount: 1_000_000 },
+  },
+  {
+    id: "the_rich",
+    name: "The Rich",
+    description: "Earn 1,000,000,000 gold in a single run.",
+    condition: { type: "totalGoldEarned", amount: 1_000_000_000 },
+  },
+  // Click milestones
+  {
+    id: "click_maniac",
+    name: "Click Maniac",
+    description: "Click the Guild Hall 10,000 times in a single run.",
+    condition: { type: "totalClicks", amount: 10_000 },
+  },
+  // Adventurer milestones
+  {
+    id: "commander",
+    name: "Commander",
+    description: "Recruit 100 adventurers.",
+    condition: { type: "adventurerTotal", amount: 100 },
+  },
+  {
+    id: "warlord",
+    name: "Warlord",
+    description: "Recruit 1,000 adventurers.",
+    condition: { type: "adventurerTotal", amount: 1_000 },
+  },
+  // Social
+  {
+    id: "guild_founder",
+    name: "Guild Founder",
+    description: "Give your guild a name.",
+    condition: { type: "guildFounded" },
+  },
+  // Prestige milestones
+  {
+    id: "the_undying",
+    name: "The Undying",
+    description: "Achieve your first Prestige.",
+    condition: { type: "prestigeCount", amount: 1 },
+  },
+  {
+    id: "battle_hardened",
+    name: "Battle Hardened",
+    description: "Achieve 5 Prestiges.",
+    condition: { type: "prestigeCount", amount: 5 },
+  },
+  {
+    id: "legend",
+    name: "Legend",
+    description: "Achieve 25 Prestiges.",
+    condition: { type: "prestigeCount", amount: 25 },
+  },
+  // Transcendence milestones
+  {
+    id: "transcendent",
+    name: "Transcendent",
+    description: "Achieve your first Transcendence.",
+    condition: { type: "transcendenceCount", amount: 1 },
+  },
+  {
+    id: "beyond_mortal",
+    name: "Beyond Mortal",
+    description: "Achieve 5 Transcendences.",
+    condition: { type: "transcendenceCount", amount: 5 },
+  },
+  // Apotheosis milestones
+  {
+    id: "apotheosised",
+    name: "Apotheosised",
+    description: "Achieve your first Apotheosis.",
+    condition: { type: "apotheosisCount", amount: 1 },
+  },
+  {
+    id: "ascendant",
+    name: "Ascendant",
+    description: "Achieve 5 Apotheoses.",
+    condition: { type: "apotheosisCount", amount: 5 },
+  },
+  // Achievement milestone
+  {
+    id: "completionist",
+    name: "Completionist",
+    description: "Unlock all achievements.",
+    condition: { type: "achievementsUnlocked", amount: 40 },
+  },
+  // Longevity
+  {
+    id: "veteran",
+    name: "Veteran",
+    description: "Play Elysium for 30 days.",
+    condition: { type: "playedDays", amount: 30 },
+  },
+  {
+    id: "timeless",
+    name: "Timeless",
+    description: "Play Elysium for a full year.",
+    condition: { type: "playedDays", amount: 365 },
+  },
+];