Add a NATS cluster message-speed bench (throughput and delay).

Client LXC 510 against nats-a/b/c at several core and JetStream r=3 loads.

scripts/build-docs-site.py

@@ -628,6 +628,8 @@ def main() -> None:
                 extras = extras + ("LOG.md", "TODO.md", "STATUS.md")
             if pkg == "verae-bootstrap":
                 extras = extras + ("HOST-DEPS.md",)
+            if pkg == "verae-nats-cluster":
+                extras = extras + ("BENCH.md",)
             for name in extras:
                 p = pkg_root / name
                 if p.exists():
@@ -851,6 +853,7 @@ def main() -> None:
         ("packages/verae-fleet/docs/CONSOLE.pdf", "Operator console"),
         ("packages/ui-docs/UI-REVIEW.pdf", "UI review (screenshots + live doors)"),
         ("packages/zapier-decisions/STATUS.pdf", "Current lab status (2026-09-12)"),
+        ("packages/verae-nats-cluster/BENCH.pdf", "NATS cluster throughput and delay (2026-09-12)"),
         ("overview/README.pdf", "System overview"),
         ("overview/INDEX.pdf", "Documentation index"),
         ("docs/modules-pdf/index.pdf", "Module PDFs (book)"),
@@ -863,6 +866,7 @@ def main() -> None:
         ("docs-master/CATALOG-HOST.html", "Move the catalog to another hostname"),
         ("docs-master/HOST-DEPS.html", "Host OS / Node / NATS installer"),
         ("packages/zapier-decisions/STATUS.html", "Current lab status"),
+        ("packages/verae-nats-cluster/BENCH.html", "NATS cluster throughput and delay"),
         ("docs-master/MESSAGE-FLOWS.html", "Numbered message flows"),
         ("docs-master/modules-and-nats.html", "NATS address table"),
         ("packages/verae-bootstrap/HOST-DEPS.html", "Host OS / Node / NATS installer"),