docs: update mana-conversion-spec with rebalanced cost formulas

Update Section 2 (Cost Formula), cost table, Section 8 display example,
and Section 11 formula summary to reflect the new linear cost formulas:
- rawCost: 10^(d+1) → 2×distance
- componentCost: 10×(d+1) → 3×distance

These changes keep the spec in sync with the fix for issue #378.

docs/circular-deps.txt

@@ -1,5 +1,5 @@
 # Circular Dependencies
-Generated: 2026-06-12T10:15:03.641Z
+Generated: 2026-06-12T10:30:18.304Z
 Found: 4 circular chain(s) — these MUST be fixed before modifying involved files.
 
 1. 1) data/guardian-encounters.ts > data/guardian-procedural.ts

docs/dependency-graph.json

@@ -1,6 +1,6 @@
 {
   "_meta": {
-    "generated": "2026-06-12T10:15:01.393Z",
+    "generated": "2026-06-12T10:30:16.054Z",
     "description": "Import dependency graph for src/lib/game. Keys are files, values are arrays of files they import.",
     "usage": "To find what a file affects, search for its path in the VALUES. To find what a file depends on, look at its KEY entry."
   },

docs/specs/mana-conversion-spec.md

@@ -42,42 +42,41 @@ All conversions produce **1 unit** of destination mana. The cost depends on the
 
 For a destination element at distance `d`:
 
-- **Raw mana cost** = `10^(d+1)`
+- **Raw mana cost** = `2 * d`
-  - Distance 1 (base): `10^2 = 100` raw per 1 element
+  - Distance 1 (base): `2` raw per 1 element
-  - Distance 2 (composite): `10^3 = 1,000` raw per 1 element
+  - Distance 2 (composite): `4` raw per 1 element
-  - Distance 3 (exotic): `10^4 = 10,000` raw per 1 element
+  - Distance 3 (exotic): `6` raw per 1 element
-  - Distance 4 (time): `10^5 = 100,000` raw per 1 element
+  - Distance 4 (time): `8` raw per 1 element
 
-- **Each component mana cost** = `10 * (d + 1)` per 1 destination element
+- **Each component mana cost** = `3 * d` per 1 destination element
-  - Distance 1: `10 * 2 = 20` of that element per 1 destination
+  - Distance 2: `6` of that element per 1 destination
-  - Distance 2: `10 * 3 = 30` of that element per 1 destination
+  - Distance 3: `9` of that element per 1 destination
-  - Distance 3: `10 * 4 = 40` of that element per 1 destination
+  - Distance 4: `12` of that element per 1 destination
-  - Distance 4: `10 * 5 = 50` of that element per 1 destination
 
 ### Cost Table (per 1 unit of destination mana)
 
 | Destination | Distance | Raw Cost | Each Component Cost | Components |
 |-------------|----------|----------|---------------------|------------|
-| Fire (base) | 1 | 100 | — | — |
+| Fire (base) | 1 | 2 | — | — |
-| Transference | 1 | 100 | — | — |
+| Transference | 1 | 2 | — | — |
-| Metal | 2 | 1,000 | 30 fire + 30 earth | fire, earth |
+| Metal | 2 | 4 | 6 fire + 6 earth | fire, earth |
-| Sand | 2 | 1,000 | 30 earth + 30 water | earth, water |
+| Sand | 2 | 4 | 6 earth + 6 water | earth, water |
-| Lightning | 2 | 1,000 | 30 fire + 30 air | fire, air |
+| Lightning | 2 | 4 | 6 fire + 6 air | fire, air |
-| Frost | 2 | 1,000 | 30 air + 30 water | air, water |
+| Frost | 2 | 4 | 6 air + 6 water | air, water |
-| BlackFlame | 2 | 1,000 | 30 dark + 30 fire | dark, fire |
+| BlackFlame | 2 | 4 | 6 dark + 6 fire | dark, fire |
-| Radiant Flames | 2 | 1,000 | 30 light + 30 fire | light, fire |
+| Radiant Flames | 2 | 4 | 6 light + 6 fire | light, fire |
-| Miasma | 2 | 1,000 | 30 air + 30 death | air, death |
+| Miasma | 2 | 4 | 6 air + 6 death | air, death |
-| Shadow Glass | 2 | 1,000 | 30 earth + 30 dark | earth, dark |
+| Shadow Glass | 2 | 4 | 6 earth + 6 dark | earth, dark |
-| Crystal | 3 | 10,000 | 40 sand + 40 light | sand, light |
+| Crystal | 3 | 6 | 9 sand + 9 light | sand, light |
-| Stellar | 3 | 10,000 | 40 plasma + 40 light | plasma, light |
+| Stellar | 3 | 6 | 9 plasma + 9 light | plasma, light |
-| Void | 3 | 10,000 | 40 dark + 40 death | dark, death |
+| Void | 3 | 6 | 9 dark + 9 death | dark, death |
-| Soul | 3 | 10,000 | 40 light + 40 dark + 40 transference | light, dark, transference |
+| Soul | 3 | 6 | 9 light + 9 dark + 9 transference | light, dark, transference |
-| Plasma | 3 | 10,000 | 40 lightning + 40 fire + 40 transference | lightning, fire, transference |
+| Plasma | 3 | 6 | 9 lightning + 9 fire + 9 transference | lightning, fire, transference |
-| Time | 4 | 100,000 | 50 soul + 50 sand + 50 transference | soul, sand, transference |
+| Time | 4 | 8 | 12 soul + 12 sand + 12 transference | soul, sand, transference |
 
 ### Key Constraint
 
-Raw mana cost is always **greater** than any individual component cost. This is inherent in the formula: `10^(d+1)` for raw vs `10*(d+1)` for each component.
+Costs are linear with distance, keeping conversions achievable at all game stages. Raw mana cost scales as `2*d` while component costs scale as `3*d` per component.
 
 ---
 
@@ -356,13 +355,13 @@ For each element with active conversions:
 │ Effective Rate:   0.50/hr  → produces 0.50 fire/hr         │
 │                                                             │
 │ Costs (deducted from raw regen):                            │
-│   Raw: 100 × 0.50 = 50.0 raw/hr                           │
+│   Raw: 2 × 0.50 = 1.0 raw/hr                              │
 │                                                             │
 │ Drained by downstream conversions:                          │
-│   → Metal:    30 × 0.005 = 0.15 fire/hr                   │
+│   → Metal:    6 × 0.005 = 0.03 fire/hr                    │
-│   → Lightning: 30 × 0.003 = 0.10 fire/hr                  │
+│   → Lightning: 6 × 0.003 = 0.02 fire/hr                   │
 │                                                             │
-│ Net Fire Regen:  +0.50 - 0.15 - 0.10 = +0.25 fire/hr      │
+│ Net Fire Regen:  +0.50 - 0.03 - 0.02 = +0.45 fire/hr     │
 └─────────────────────────────────────────────────────────────┘
 ```
 
@@ -380,8 +379,8 @@ Where:
   meditationMult = 1 + (meditationMultiplier - 1) / elementDistance
 
 Cost per 1 unit of destination:
-  rawCost = 10^(distance+1)
+  rawCost = 2 × distance
-  componentCost = 10 × (distance+1) per component
+  componentCost = 3 × distance per component
 
 All costs deducted from source regen (not from mana pool).
 Conversions pause if source regen < conversion cost.