feat(prompting): Phase A — suppress the two mush sources in poker mode

Per docs/superpowers/specs/2026-07-01-poker-prompts-design.md, Phase A. Two
independent pipeline fixes that reduce mush at the table, ahead of the classifier:

1. _mode_menu_note is no longer injected in poker_cash — mid-session she should
   not be offering to switch modes.
2. _route skips the register/mood nudge in poker_cash — the lexicon heuristic
   misfired (neutral logistics like "table broke, 11:50pm" read as tilt/fatigue).
   Poker register will come from the Phase B MENTAL fragment instead. Non-poker
   modes keep the nudge unchanged.

2 tests. Full suite 180 green.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

tests/test_perceive.py

@@ -53,4 +53,25 @@ def test_route_injects_tilt_nudge(mind):
 def test_route_quiet_on_neutral_turn(mind):
     turn = mind.assemble("s1", "what did we decide about the schema yesterday?", "cloud", None)
     assert turn.register is None                    # neutral -> no nudge
-    assert not (turn.moment or {}).get("note")
+    assert not (turn.moment or {}).get("note")
+
+
+# --- Phase A pipeline fixes: poker mode suppresses the two mush sources ---
+
+def test_poker_mode_suppresses_tilt_nudge(mind):
+    from lyra import memory
+    memory.set_session_mode("s1", "poker_cash")
+    turn = mind.assemble("s1", "ugh I'm steaming, fucking coolered again!!", "cloud", None)
+    assert turn.register is None                     # at the table, register comes from fragments
+    sys_blob = " ".join(m["content"] for m in turn.messages if m["role"] == "system")
+    assert "on tilt" not in sys_blob.lower()         # false-positive lexicon nudge suppressed
+
+
+def test_mode_menu_note_suppressed_in_poker(mind):
+    from lyra import modes
+    poker = " ".join(m["content"] for m in mind.build_messages("s1", "stack 350", mode=modes.CASH)
+                     if m["role"] == "system")
+    build = " ".join(m["content"] for m in mind.build_messages("s1", "let's refactor", mode=modes.get("build"))
+                     if m["role"] == "system")
+    assert "Your modes:" not in poker                # no "offer to switch" note at the table
+    assert "Your modes:" in build                    # still present in a non-poker mode