fix: rewrite prestige/transcendence formula and rebalance progression

apps/api/src/data/transcendenceUpgrades.ts

@@ -11,7 +11,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   // ── Income multipliers ──────────────────────────────────────────────────────
   {
     category: "income",
-    cost:     5,
+    cost:     2,
     description:
       "The echoes of past runs linger, amplifying your guild's income by 25%.",
     id:         "echo_income_1",
@@ -20,7 +20,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   },
   {
     category: "income",
-    cost:     10,
+    cost:     4,
     description:
       "Your transcendent experience resonates through your guild, boosting income by 50%.",
     id:         "echo_income_2",
@@ -29,7 +29,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   },
   {
     category: "income",
-    cost:     20,
+    cost:     8,
     description:
       "The harmony of multiple timelines surges through your guild, doubling its income.",
     id:         "echo_income_3",
@@ -38,7 +38,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   },
   {
     category: "income",
-    cost:     40,
+    cost:     16,
     description:
       "Ethereal energy overflows from your transcendence, tripling your guild's income.",
     id:         "echo_income_4",
@@ -47,7 +47,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   },
   {
     category: "income",
-    cost:     80,
+    cost:     32,
     description:
       "The infinite chorus of every run you've ever played amplifies your guild fivefold.",
     id:         "echo_income_5",
@@ -58,7 +58,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   // ── Combat multipliers ──────────────────────────────────────────────────────
   {
     category: "combat",
-    cost:     5,
+    cost:     2,
     description:
       "Memories of countless battles harden your adventurers, increasing party DPS by 25%.",
     id:         "echo_combat_1",
@@ -67,7 +67,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   },
   {
     category: "combat",
-    cost:     15,
+    cost:     6,
     description:
       "Veterans of transcendence know how to fight smarter, boosting party DPS by 50%.",
     id:         "echo_combat_2",
@@ -76,7 +76,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   },
   {
     category: "combat",
-    cost:     35,
+    cost:     12,
     description:
       "Your warriors carry the strength of every fallen timeline, doubling party DPS.",
     id:         "echo_combat_3",
@@ -87,7 +87,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   // ── Prestige threshold reductions ──────────────────────────────────────────
   {
     category: "prestige_threshold",
-    cost:     8,
+    cost:     3,
     description:
       "Experience from past lives shortens the road to prestige — threshold reduced by 10%.",
     id:         "echo_prestige_threshold_1",
@@ -96,7 +96,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   },
   {
     category: "prestige_threshold",
-    cost:     20,
+    cost:     6,
     description:
       "You've walked this path so many times you know every shortcut — threshold reduced by 20%.",
     id:         "echo_prestige_threshold_2",
@@ -107,7 +107,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   // ── Prestige runestone multipliers ─────────────────────────────────────────
   {
     category: "prestige_runestones",
-    cost:     8,
+    cost:     3,
     description:
       "Transcendent insight attunes you to the runestones, earning 50% more per prestige.",
     id:         "echo_prestige_runestones_1",
@@ -116,7 +116,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   },
   {
     category: "prestige_runestones",
-    cost:     20,
+    cost:     6,
     description:
       "You have mastered the art of runestone crafting, doubling your prestige runestone yield.",
     id:         "echo_prestige_runestones_2",
@@ -127,7 +127,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   // ── Echo meta multipliers ───────────────────────────────────────────────────
   {
     category: "echo_meta",
-    cost:     50,
+    cost:     25,
     description:
       "Your transcendence resonates deeper, amplifying future echo yields by 25%.",
     id:         "echo_meta_1",
@@ -136,7 +136,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   },
   {
     category: "echo_meta",
-    cost:     150,
+    cost:     75,
     description:
       "Each loop of existence makes the next more powerful — future echo yields +50%.",
     id:         "echo_meta_2",
@@ -145,7 +145,7 @@ export const defaultTranscendenceUpgrades: Array<TranscendenceUpgrade> = [
   },
   {
     category: "echo_meta",
-    cost:     400,
+    cost:     200,
     description:
       "You have mastered the infinite spiral of transcendence, doubling all future echo yields.",
     id:         "echo_meta_3",