fix(agents): name the map-branch output key in deep-research and finding-verifier

An llm node never persists its completion under `output` (the binding
is transient), so a map branch without state_updates collected the
stale inherited value: deep-research produced `None` findings and
finding-verifier errored on its first item because `output` was absent.

Both maps now declare an explicit output_key and their branch nodes
write it via state_updates. graph.example.yaml's research_subject gets
the same named-key pattern and its branch comment describes it.

Design: plans/map-subgraph-branches-design.md §2.6, §3.7 (C9).

assets/agents/deep-research/graph.yaml

@@ -115,6 +115,7 @@ nodes:
     as: question
     branch: research_one_question
     collect_into: question_findings
+    output_key: finding
     max_concurrency: 3
     next: combine_findings
 
@@ -152,6 +153,8 @@ nodes:
     max_iterations: 10
     max_attempts: 2
     temperature: 0.1
+    state_updates:
+      finding: "{{output}}"
 
   combine_findings:
     id: combine_findings

assets/agents/finding-verifier/graph.yaml

@@ -95,6 +95,7 @@ nodes:
     as: finding
     branch: verify_one
     collect_into: verdicts
+    output_key: verdict
     max_concurrency: 4
     next: done
 
@@ -150,6 +151,8 @@ nodes:
     max_iterations: 8
     max_attempts: 2
     temperature: 0.1
+    state_updates:
+      verdict: "{{output}}"
 
   done:
     id: done

graph.example.yaml

@@ -387,7 +387,7 @@ nodes:
                                     # (not spawn-finish order).
     max_concurrency: 3          # Optional per-map cap. Defaults to
                                 # settings.max_concurrency above.
-    output_key: output          # Optional. State key the branch's output
+    output_key: subject_summary # Optional. State key the branch's output
                                 # appears under. Default "output". Useful
                                 # only if the branch reads its own bound
                                 # name back (rare).
@@ -403,8 +403,11 @@ nodes:
     prompt: "Research {{subject}}: pull the key facts and one citation."
     tools:
       - web_search_coyote
-    # No `next:`, `state_updates:`, or `output_schema:` here. Map branches
+    # Recommended pattern: write the completion to a named key via
-    # have a strict contract (see `subjects_map.branch` comment).
+    # `state_updates` and point the map's `output_key` at that same key.
+    # `{{output}}` is bound only while these templates render.
+    state_updates:
+      subject_summary: "{{output}}"
 
   # Aggregator that runs after the map joins. Reads the collected list.
   aggregate_subjects: