Report each account's future payout chain with closed-form reach probabilities

projectPerfectPath prices every projected withdrawal as
min(withdrawalPct × equity profit, cap) × profit split, and tracks the
cumulative probability of reaching it under the fair-walk ruin model —
room/(room + dayTarget) per day (the per-leg product telescopes), trailing
threshold locked at breakeven after the first withdrawal, no obfuscation
branches. The reporter attaches the first 6 payouts per account so the
master's payout calendar renders real amounts and probabilities instead of
one static expectedPayout.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>

types.ts

@@ -16,7 +16,15 @@ export interface AccountConfig {
     firstDayStop: boolean;    // first cycle day carries a $1,000 account stop - books red and ends
     minDayStop: boolean;      // min-day trades carry a 2x-target stop; next day after a loss rides stopless
     combineCmeHolidays: boolean;  // true = CME holiday sessions count with the next full trading day (Apex-style)
-    withdrawalStages: { profit: number; consistency: number; minTradingDays: number; drain?: boolean; minDayPnL?: number }[];  // per-stage fresh profit + consistency (empty = use base values); drain = spam-withdraw stage
+    withdrawalStages: { profit: number; consistency: number; minTradingDays: number; drain?: boolean; minDayPnL?: number; withdrawalPct?: number; payoutCap?: number }[];  // per-stage fresh profit + consistency (empty = use base values); drain = spam-withdraw stage
+    /** Payout model, from the master's payout settings (absent on old masters):
+     *  withdraw withdrawalPct of balance (capped at payoutCap) per cycle,
+     *  receive profitSplit of the gross; trailingDrawdown feeds the ruin
+     *  probabilities. */
+    withdrawalPct?: number;
+    payoutCap?: number;
+    profitSplit?: number;
+    trailingDrawdown?: number;
 }
 
 export interface FirmConfig {