feat: data-driven autopilot profitability tuning + edge profile panel

Analysis of 410 live closed trades found the edge is real but was being
destroyed by execution: gross +$267 vs $245 fees; trades held <1h were net
negative (the <15m bucket alone: -$48 on $66 fees) while 1h+ holds carried
+$78; shorts lost $72 while longs made $94 — and both the prompt and the
engine were manufacturing those losers.

Changes, each tied to the data:
- Prompt: removed the 'MUST open at least one long AND one short every
  cycle' mandate (forced weak-signal shorts); direction is now data-driven
  with 'never open just to balance the book'. Added fee-awareness (round
  trip ≈ 0.1% notional, require expected move ≥ 3x cost) and aligned the
  hold discipline with the backend throttle.
- Forced book-balance opens now require |board z-score| ≥ 0.75 — the engine
  previously force-opened full-size 10x positions on near-neutral signals
  with hardcoded confidence 70. DirectionalCandidates now carries scores.
- Min AI-managed hold raised 45m → 60m (the 15-60m bucket still bled after
  the earlier throttle landed).
- Legacy prompt hygiene: vergex path drops long-only-era custom prompts and
  zh-era configs fall back wholesale to built-in English sections — fixes
  the two long-failing kernel prompt tests.
- New Edge Profile dashboard panel: net after fees by hold-time bucket and
  side, computed from recent closed trades, with an automatic takeaway line
  — the fee/churn regression detector, always visible. Fixed the
  HistoricalPosition timestamp types (epoch ms, not strings).

web/src/components/terminal/TerminalDashboard.tsx

@@ -17,6 +17,7 @@ import { KlineChart } from './KlineChart'
 import { ExecutionLog } from './ExecutionLog'
 import { SignalMatrix } from './SignalMatrix'
 import { RiskRadar } from './RiskRadar'
+import { EdgeProfile } from './EdgeProfile'
 import { useDemoEngine } from '../../lib/demo/useDemoEngine'
 
 // crypto majors trade on the Hyperliquid main dex (no hip3 cost/liq heatmap);
@@ -540,8 +541,8 @@ export function TerminalDashboard({
         </div>
         <div className="tm-rule" />
 
-        {/* market net inflow (Vergex) · by-symbol history — balanced two-column footer */}
-        <div style={{ display: 'grid', gridTemplateColumns: 'minmax(0,1.5fr) minmax(0,1fr)' }}>
+        {/* market net inflow (Vergex) · by-symbol history · edge profile — footer */}
+        <div style={{ display: 'grid', gridTemplateColumns: 'minmax(0,1.2fr) minmax(0,0.9fr) minmax(0,0.9fr)' }}>
           <div style={{ ...sc, borderRight: cellBorder }}>
             <div style={{ display: 'flex', alignItems: 'baseline', gap: 10, marginBottom: 8 }}>
               <span className="tm-px" style={{ fontSize: 12 }}>Market net inflow</span>
@@ -550,7 +551,7 @@ export function TerminalDashboard({
             </div>
             <FlowMarkets items={flowItems} window={flow?.data?.window} />
           </div>
-          <div style={sc}>
+          <div style={{ ...sc, borderRight: cellBorder }}>
             <div style={{ display: 'flex', alignItems: 'baseline', gap: 8, marginBottom: 8 }}>
               <span className="tm-px" style={{ fontSize: 11 }}>By symbol</span>
               <span className="tm-sc">By-symbol history · trades/win/pnl</span>
@@ -568,6 +569,13 @@ export function TerminalDashboard({
               </div>
             )) : <div className="tm-sc">No symbol history.</div>}
           </div>
+          <div style={sc}>
+            <div style={{ display: 'flex', alignItems: 'baseline', gap: 8, marginBottom: 8 }}>
+              <span className="tm-px" style={{ fontSize: 11 }}>Edge profile</span>
+              <span className="tm-sc">Net by hold time &amp; side · after fees</span>
+            </div>
+            <EdgeProfile positions={history?.positions} />
+          </div>
         </div>
       </div>
     </div>