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>

app/accounts/[id]/page.tsx

@@ -484,6 +484,12 @@ export default function AccountPage() {
         fundTransactions,
         balance: account.amount,
         realizedPnL: account.realizedPnL,
+        payout: {
+            withdrawalPct: cfg.withdrawalPct,
+            payoutCap: cfg.payoutCap,
+            profitSplit: cfg.profitSplit,
+            drawdown: cfg.trailingDrawdown ?? 0,
+        },
     }) : [];
     const projPnlMap = new Map(projection.filter((p) => p.withdrawal === undefined && !p.payoutReady).map((p) => [p.date, p.pnl]));
     const projFundMap = new Map(projection.filter((p) => p.withdrawal !== undefined).map((p) => [p.date, p.withdrawal!]));