diff --git a/e2e/browser-v3/arena/ARENA.md b/e2e/browser-v3/arena/ARENA.md
index 5826fd78..c922526c 100644
--- a/e2e/browser-v3/arena/ARENA.md
+++ b/e2e/browser-v3/arena/ARENA.md
@@ -348,6 +348,24 @@ DIV.ui-dialog-titlebar). Also fixed alongside: empty LLM completions (thinking e
 max_tokens) are now retried with doubled budget instead of being booked as no-action turns —
 this was the entire login-composition 0-step failure mode. Prediction unchanged; pilot rerun.
 
+RERUN VERDICT (2026-08-14): **fail on targets (0/8 pattern continuing; controls clean).** The
+BLOCKED message now demonstrably reaches the model and changes behavior — the trace shows it
+attempting to move the dialog (dragging the Close row: the titlebar itself is not an
+addressable element) and then resuming the clause sequence — but it never RETRIES the blocked
+clause-1 click, so the composition still scores 0. Model-side remediation of occlusion is now
+0-for-2 (instruction alone, instruction + named blocker).
+
+## PRE-REGISTERED (2026-08-14, before any v32 episode): forced dispatch on blocked clicks
+
+Mechanism: `force_unblock` (v32 = v31 + this) — when a click is BLOCKED, run.py dispatches a
+synthetic el.click() on the target immediately and the error says so ('the click was DISPATCHED
+anyway ... check the page before repeating it'). Rationale: CDP-driven stacks (browser-use)
+have exactly these semantics natively — occlusion never stops their clicks — so this is
+actionability PARITY between stacks, not a cheat; the blocked attempt and the forced dispatch
+are both surfaced honestly in history and in the book. Prediction: >=3 of 8 targets (the
+click-widget+click-dialog compositions), controls 12/12 (fires only on blocked clicks, which
+controls never hit).
+
 ## Positioning vs public generic-harness baselines (user-supplied 2026 survey)
 
 The comparable class is generic agents, NOT MiniWoB-specialized systems (HTML-T5++ 95.2 trained
diff --git a/e2e/browser-v3/arena/llm_policy.py b/e2e/browser-v3/arena/llm_policy.py
index 917b40fb..285facfc 100644
--- a/e2e/browser-v3/arena/llm_policy.py
+++ b/e2e/browser-v3/arena/llm_policy.py
@@ -137,6 +137,10 @@ class LlmPolicy:
         return (f"\nINSTRUCTION CLAUSES (complete IN ORDER; you last reported clause {self.cur_clause}):\n"
                 f"{rows}\nBegin your PLAN line with 'CLAUSE <n>:' stating the clause you are working on.")
 
+    # v32: when a click is BLOCKED by an overlay, run.py dispatches a synthetic click on the
+    # target anyway (the actionability semantics CDP-driven stacks have natively) and says so.
+    force_unblock: bool = False
+
     # v31: suppress weak-named wrapper rows that shadow exactly one real child.
     suppress_wrappers: bool = False
 
@@ -905,6 +909,15 @@ def build(name: str, model: str = "", endpoint: str = "", **_: Any) -> Any:
                                   scripted_drag=True, auto_complete=True, som=False,
                                   native_pickers=True, verify_terminal=True, post_mouse_vision=True,
                                   multi_cap=6, fill_verify=True, **v17)
+    if name == "osw-llm-v32":  # v31 + forced dispatch on blocked clicks (occlusion parity with CDP stacks)
+        v32 = dict(v7, system=OSW_SYSTEM_V8 + OSW_SYSTEM_V9_WIDGETS + OSW_SYSTEM_V16 + OSW_SYSTEM_V30,
+                   max_tokens=800)
+        return OpenSwarmLlmPolicy(name=name, multi=True, vision="progressive", fastpath=True,
+                                  scripted_drag=True, auto_complete=True, som=False,
+                                  native_pickers=True, verify_terminal=True, post_mouse_vision=True,
+                                  multi_cap=6, fill_verify=True, dispatch=True, offscreen=True,
+                                  local_ctx=True, blocker_probe=True, suppress_wrappers=True,
+                                  force_unblock=True, **v32)
     if name == "osw-llm-v31":  # v30 + wrapper suppression (trap rows shadowing one real child)
         v31 = dict(v7, system=OSW_SYSTEM_V8 + OSW_SYSTEM_V9_WIDGETS + OSW_SYSTEM_V16 + OSW_SYSTEM_V30,
                    max_tokens=800)
diff --git a/e2e/browser-v3/arena/run.py b/e2e/browser-v3/arena/run.py
index 9affa9b8..bf0b9fb5 100644
--- a/e2e/browser-v3/arena/run.py
+++ b/e2e/browser-v3/arena/run.py
@@ -231,11 +231,22 @@ def run_episode(arm: str, task: str, seed: int, rec: Recorder, args: argparse.Na
                             " (e.className&&typeof e.className==='string'?'.'+e.className.split(' ')[0]:''); }",
                             m_bid.group(1)), 8)
                         if top:
+                            forced = ""
+                            if getattr(policy, "force_unblock", False):
+                                # v32: dispatch the click on the element anyway (what CDP-driven
+                                # stacks do natively -- occlusion never stops them). The page's
+                                # listener decides if it counts; the model is told either way.
+                                ok = with_deadline(lambda: env.unwrapped.page.evaluate(
+                                    "(bid) => { const el = document.querySelector(`[bid=\"${bid}\"]`);"
+                                    " if (!el) return false; el.click(); return true; }",
+                                    m_bid.group(1)), 8)
+                                if ok:
+                                    forced = ("; the click was DISPATCHED anyway and may have "
+                                              "registered -- check the page before repeating it")
                             # PREPENDED: a suffix after Playwright's multi-line call log gets
                             # truncated out of both the record and the model's history.
-                            err = (f"BLOCKED: {top} is covering the element you clicked -- move or "
-                                   f"close the cover first (drag its titlebar or dismiss it), then "
-                                   f"retry | {err}")
+                            err = (f"BLOCKED: {top} is covering the element you clicked{forced} -- "
+                                   f"if it did not register, move or close the cover and retry | {err}")
                             obs["last_action_error"] = err
                     except Exception:
                         pass