Broker sessions rest while nothing needs them

A firm's client used to stay logged in around the clock, renewing on a fixed
timer overnight and at weekends. Now, once a firm has nothing open, nothing
pending and nothing left to trade before its next session for a random
15–45 minutes, its client disconnects and the dashboard shows it Resting.
It logs back in a random 20–50 minutes before the next session opens, at a
check-in every 3–7 Central daytime hours, or at once when trading starts, a
manual leg, copy trade, manual order or AutoBuyer run needs it. Token
renewals fall at random points (Tradovate 15–45 min before expiry, TopstepX
every 45–150 min). Settings → Trading → Rest idle broker sessions
(session_rest) turns it off.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

package.json

@@ -7,7 +7,7 @@
     "build": "next build",
     "start": "next start",
     "lint": "eslint",
-    "check": "node --experimental-strip-types --disable-warning=MODULE_TYPELESS_PACKAGE_JSON --test scripts/check-trading-logic.mjs scripts/check-instruments.mjs scripts/check-account-status.mjs scripts/check-kept-rules.mjs scripts/check-request-user-agent.mjs"
+    "check": "node --experimental-strip-types --disable-warning=MODULE_TYPELESS_PACKAGE_JSON --test scripts/check-trading-logic.mjs scripts/check-instruments.mjs scripts/check-account-status.mjs scripts/check-kept-rules.mjs scripts/check-request-user-agent.mjs scripts/check-session-rest.mjs"
   },
   "dependencies": {
     "@microsoft/signalr": "^10.0.11",