feat: add apotheosis third prestige layer and remove IDEAS.md

Apotheosis is the ultimate reset — wipes absolutely everything
including prestige and transcendence — in exchange for a pure
bragging-rights badge. No mechanical benefit whatsoever.

Unlock condition: all 15 Transcendence echo upgrades purchased.
Can be achieved multiple times; each cycle requires repurchasing
all Transcendence upgrades again.

What survives: Codex lore entries and lifetime profile statistics.
What is wiped: resources, prestige, runestones, transcendence data
(echoes, echo upgrades, multipliers), equipment, upgrades, bosses,
quests, zones, adventurers, achievements.

New files: Apotheosis.ts type, apotheosis service, apotheosis route,
ApotheosisPanel.tsx component.

Modified: GameState (apotheosis field), Api.ts, types/index.ts,
prestige service (carry apotheosis), transcendence service (carry
apotheosis), game.ts anti-cheat (cap apotheosis count), API client,
GameContext (apotheosis() function), GameLayout (new tab), ResourceBar
(gold apotheosis badge shown above transcendence and prestige badges),
styles.css, AboutPanel how-to-play.

Also removes IDEAS.md — all planned features are now implemented!

packages/types/src/index.ts

@@ -1,3 +1,4 @@
+export type { ApotheosisData } from "./interfaces/Apotheosis.js";
 export type { CodexEntry, CodexState } from "./interfaces/Codex.js";
 export type {
   Achievement,
@@ -9,6 +10,8 @@ export type { Adventurer, AdventurerClass } from "./interfaces/Adventurer.js";
 export type {
   AboutResponse,
   ApiError,
+  ApotheosisRequest,
+  ApotheosisResponse,
   AuthResponse,
   BossChallengeRequest,
   BossChallengeResponse,

packages/types/src/interfaces/Api.ts

@@ -150,6 +150,14 @@ export interface BuyEchoUpgradeResponse {
   echoMetaMultiplier: number;
 }
 
+export interface ApotheosisRequest {
+  characterName: string;
+}
+
+export interface ApotheosisResponse {
+  newApotheosisCount: number;
+}
+
 export interface ApiError {
   error: string;
 }

packages/types/src/interfaces/Apotheosis.ts

@@ -0,0 +1,4 @@
+export interface ApotheosisData {
+  /** Number of times the player has achieved Apotheosis */
+  count: number;
+}

packages/types/src/interfaces/GameState.ts

@@ -1,6 +1,7 @@
 import type { Achievement } from "./Achievement.js";
 import type { Adventurer } from "./Adventurer.js";
 import type { Boss } from "./Boss.js";
+import type { ApotheosisData } from "./Apotheosis.js";
 import type { CodexState } from "./Codex.js";
 import type { DailyChallengeState } from "./DailyChallenge.js";
 import type { TranscendenceData } from "./Transcendence.js";
@@ -33,4 +34,6 @@ export interface GameState {
   codex?: CodexState;
   /** Transcendence (second prestige layer) state — optional for backwards compatibility */
   transcendence?: TranscendenceData;
+  /** Apotheosis (third prestige layer) state — optional for backwards compatibility */
+  apotheosis?: ApotheosisData;
 }