feat: another balance and bug fix pass (#238)

Working through open issues — fixes, balance changes, and features.

## Closed

- Closes #161
- Closes #181
- Closes #191
- Closes #199
- Closes #201
- Closes #202
- Closes #203
- Closes #204
- Closes #205
- Closes #206
- Closes #208
- Closes #211
- Closes #212
- Closes #213
- Closes #214
- Closes #216
- Closes #219
- Closes #220
- Closes #221
- Closes #222
- Closes #224
- Closes #225
- Closes #226
- Closes #228
- Closes #229
- Closes #230
- Closes #231
- Closes #232
- Closes #233
- Closes #234
- Closes #235
- Closes #236

✨ This PR was created with help from Hikari~ 🌸

Reviewed-on: #238
Co-authored-by: Hikari <hikari@nhcarrigan.com>
Co-committed-by: Hikari <hikari@nhcarrigan.com>

apps/api/test/services/prestige.spec.ts

@@ -55,18 +55,18 @@ const makeMinimalState = (overrides: Partial<GameState> = {}): GameState =>
 
 describe("calculatePrestigeThreshold", () => {
   it("returns base threshold at count 0", () => {
-    // base × (0+1)^2 = 1_000_000 × 1 = 1_000_000
+    // base × (0+1)^2.5 = 1_000_000 × 1 = 1_000_000
     expect(calculatePrestigeThreshold(0)).toBe(1_000_000);
   });
 
-  it("returns 4× base at count 1", () => {
-    // base × (1+1)^2 = 1_000_000 × 4 = 4_000_000
-    expect(calculatePrestigeThreshold(1)).toBe(4_000_000);
+  it("returns base × 2^2.5 at count 1", () => {
+    // base × (1+1)^2.5 = 1_000_000 × 2^2.5
+    expect(calculatePrestigeThreshold(1)).toBeCloseTo(1_000_000 * Math.pow(2, 2.5));
   });
 
-  it("returns 9× base at count 2", () => {
-    // base × (2+1)^2 = 1_000_000 × 9 = 9_000_000
-    expect(calculatePrestigeThreshold(2)).toBe(9_000_000);
+  it("returns base × 3^2.5 at count 2", () => {
+    // base × (2+1)^2.5 = 1_000_000 × 3^2.5
+    expect(calculatePrestigeThreshold(2)).toBeCloseTo(1_000_000 * Math.pow(3, 2.5));
   });
 
   it("applies threshold multiplier correctly", () => {
@@ -255,6 +255,20 @@ describe("buildPostPrestigeState", () => {
     expect(prestigeData.autoPrestigeEnabled).toBeUndefined();
   });
 
+  it("preserves autoPrestigeMaxRunestonesOnly when set", () => {
+    const state = makeMinimalState({
+      prestige: { autoPrestigeMaxRunestonesOnly: true, count: 0, productionMultiplier: 1, purchasedUpgradeIds: [], runestones: 0 },
+    });
+    const { prestigeData } = buildPostPrestigeState(state, "Tester");
+    expect(prestigeData.autoPrestigeMaxRunestonesOnly).toBe(true);
+  });
+
+  it("omits autoPrestigeMaxRunestonesOnly when not set", () => {
+    const state = makeMinimalState();
+    const { prestigeData } = buildPostPrestigeState(state, "Tester");
+    expect(prestigeData.autoPrestigeMaxRunestonesOnly).toBeUndefined();
+  });
+
   it("preserves apotheosis data across prestige", () => {
     const apotheosis = { count: 2 };
     const state = makeMinimalState({ apotheosis });