docs(rest)+test(core): true live_transcribe call shape; drop stale ai_sidecar bypass

rest/docs/calling.md

@@ -208,9 +208,13 @@ client.calling.ai_stop(call_id, control_id="ai-1")
 
 ## Live Transcribe & Translate
 
+`action` is an object keyed by the phase (`start`/`summarize`), with the phase's
+parameters inside it — or the literal string `"stop"`:
+
 ```python
-client.calling.live_transcribe(call_id, action="start", lang="en")
-client.calling.live_translate(call_id, action="start", from_lang="en", to_lang="es")
+client.calling.live_transcribe(call_id, action={"start": {"lang": "en", "webhook": "https://example.com/transcripts"}})
+client.calling.live_transcribe(call_id, action="stop")
+client.calling.live_translate(call_id, action={"start": {"from_lang": "en", "to_lang": "es"}})
 ```
 
 ## Fax

tests/unit/core/test_swml_service_swaig.py

@@ -243,13 +243,14 @@ def test_can_emit_ai_sidecar_verb(self) -> None:
         svc.add_section("main")
         ok = svc.add_verb_to_section("main", "answer", {})
         assert ok
-        # ai_sidecar isn't in the live SWML schema yet — bypass via raw doc.
-        # Once the schema lands, callers will use add_verb_to_section directly.
-        svc._current_document["sections"]["main"].append({"ai_sidecar": {
+        # ai_sidecar landed in the bundled schema (4645d48), so the supported
+        # path works — and routes the verb through schema validation.
+        ok = svc.add_verb_to_section("main", "ai_sidecar", {
             "prompt": "real-time copilot",
             "lang": "en-US",
             "direction": ["remote-caller", "local-caller"],
-        }})
+        })
+        assert ok
         rendered = json.loads(svc.render_document())
         verbs = [list(v.keys())[0] for v in rendered["sections"]["main"]]
         assert "answer" in verbs