set() on an idle agent appends plan/mode at once — no request boundary
would arrive until the next prompt, so a queued intent used to hang as
pending forever (the composer showed a dead pending target). A running
agent keeps the boundary-flush path unchanged. set() now reports which
branch ran (committed/queued/cancelled/noop); the /plan handler's copy
follows the branch (idle: "Plan mode on/off", mid-turn: the next-step
wording), and both commit paths share the header-delta narration. The
invariant drops turn enclosure: plan/mode is a standalone whole-value
event (the synthetic log-only turns removal already established the
between-turns append shape). The fixture mirrors the idle commit.