perf(web): centralize batch handoff rotation

tools/web/run-wbv2-continuous.mjs

@@ -58,11 +58,6 @@ function taskCommand(task) {
   return match[1];
 }
 
-function assertContext() {
-  const result = command("node tools/web/check-wbv2-context-cache.mjs", "tests/golden/WBV2/continuous-context.log");
-  if (result.code !== 0) throw new Error(`context gate failed (exit ${result.code})`);
-}
-
 function typecheckProven(task) {
   try {
     const manifest = JSON.parse(read(`tests/golden/${task}/manifest.json`));
@@ -81,7 +76,6 @@ let iterations = 0;
 const summary = [];
 while (maxIterations === 0 || iterations < maxIterations) {
   const before = currentTask();
-  assertContext();
   // A completed V2 plan intentionally leaves the final task as an auditable
   // pointer. Do not replay its implementation command on later unattended
   // passes; close the runner cleanly at the terminal boundary.
@@ -112,7 +106,6 @@ while (maxIterations === 0 || iterations < maxIterations) {
       : [];
     const handoffPaths = [
       "docs/EXECUTION_QUEUE.md",
-      "nextTask.md",
       `docs/tasks/${before.task}.md`,
       ...(terminal ? [] : [`docs/tasks/${after.task}.md`]),
       `docs/status/${before.task}.md`,