balance: early crystal access and smoother production scaling (#173, #174)

Give Troll King 5 crystals (was 0) to signal the crystal economy from
the first boss kill, and halve crystal_focus cost from 100 to 50 so it
is reachable within the first zone's boss chain (#173).

Increase production multiplier base from 1.25 to 1.3 so each prestige
provides more perceptible run-time reduction in the P1-P30 window where
the treadmill effect was most pronounced (#174).

apps/api/src/data/bosses.ts

@@ -12,7 +12,7 @@ export const defaultBosses: Array<Boss> = [
   // ── Verdant Vale ──────────────────────────────────────────────────────────
   {
     bountyRunestones: 1,
-    crystalReward:    0,
+    crystalReward:    5,
     currentHp:        1000,
     damagePerSecond:  5,
     description:

apps/api/src/data/upgrades.ts

@@ -48,7 +48,7 @@ export const defaultUpgrades: Array<Upgrade> = [
     unlocked:     false,
   },
   {
-    costCrystals: 100,
+    costCrystals: 50,
     costEssence:  0,
     costGold:     0,
     description:

apps/api/src/services/prestige.ts

@@ -146,7 +146,7 @@ const calculateRunestones = (parameters: RunestoneParameters): number => {
 
 /**
  * Calculates the new prestige production multiplier.
- * Formula: 1.25^prestigeCount — exponential scaling per prestige that eventually
+ * Formula: 1.3^prestigeCount — exponential scaling per prestige that eventually
  * overtakes the polynomial threshold growth, making late prestiges progressively easier.
  * @param prestigeCount - The new prestige count.
  * @returns The production multiplier for the new prestige level.
@@ -154,7 +154,7 @@ const calculateRunestones = (parameters: RunestoneParameters): number => {
 const calculateProductionMultiplier = (
   prestigeCount: number,
 ): number => {
-  return Math.pow(1.25, prestigeCount);
+  return Math.pow(1.3, prestigeCount);
 };
 
 /**

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

@@ -131,12 +131,12 @@ describe("calculateProductionMultiplier", () => {
     expect(calculateProductionMultiplier(0)).toBe(1);
   });
 
-  it("returns 1.25 at count 1", () => {
-    expect(calculateProductionMultiplier(1)).toBeCloseTo(1.25);
+  it("returns 1.3 at count 1", () => {
+    expect(calculateProductionMultiplier(1)).toBeCloseTo(1.3);
   });
 
   it("scales exponentially", () => {
-    expect(calculateProductionMultiplier(10)).toBeCloseTo(Math.pow(1.25, 10));
+    expect(calculateProductionMultiplier(10)).toBeCloseTo(Math.pow(1.3, 10));
   });
 });