Print the limiter through the bake's master stage, compensating its lookahead so an engaged bake is the approved sound and a bypassed one is unchanged

src/core/instrument/bake/CLAUDE.md

@@ -21,9 +21,21 @@ decision about what the render made obsolete.
   loop runs to `BakePlan::renderFrames()` and stops. That is why a Gate bake with a sustain
   loop active terminates: the gate is released at `noteOffFrame` so the tail is real, but
   even a pathological envelope cannot run past the window.
-- **The voice chain and master gain are printed; the limiter is not.** The gain multiply in
-  `bake_render.cpp` carries the argument for the gain, and `bake_reset.h` records where the
-  printed master stage stops.
+- **The whole chain is printed — voice, master gain, then the limiter, in the processor's
+  own order.** `bake_render.cpp`'s master stage carries the argument. The limiter is printed
+  only when it is ENGAGED; bypassed, `renderBake` never constructs one and the result is the
+  pre-limiter render frame for frame. The lookahead is compensated inside the render — the
+  buffers carry an extra flush window and the capture is read past it — so an engaged bake
+  under the ceiling is bit-identical to a bypassed one, not the same audio 2 ms late.
+- **A printed capture replayed through an engaged limiter is limited TWICE — a NAMED
+  boundary, not a bug**, and the same shape as the automation-lane limitation below. The
+  reset is what normally prevents it (`limiterEnabled` is not on the survive list, so a bake
+  hands the enable back off), and at unity the second pass has nothing to take: every sample
+  of the printed file is already at or under the ceiling, and the limiter reduces only where
+  its detector reads ABOVE it — which after a bake means its inter-sample estimate alone. Dial
+  the enable back on over raised gain, though, and the capture is limited on top of limiting
+  that is already in its samples. Not detectable from inside the instrument and not corrected
+  there; the user's remedy is to leave the enable where the bake put it.
 - **A degenerate or unholdable window is refused, not rendered.** `planBake` refuses a
   collapsed window, a non-positive rate, a window that rounds to no frames, and one past
   `kMaxBakeFrames` — an unbounded window is a `bad_alloc` inside a UI tick, and the
@@ -72,7 +84,8 @@ decision about what the render made obsolete.
   render window, the captured slice of it, and the two event frames), `kMaxBakeFrames`, and
   `planBake`, the one `ResolvedNote` + rate -> frames resolution, answering a `PlannedBake`.
 - `bake_render` — `BakeAudio` and `renderBake`: the programmed note through the sample's
-  own voice path, summed into an interleaved buffer at the source's own channel count.
+  own voice path and then the master stage, summed into an interleaved buffer at the
+  source's own channel count.
 - `bake_reset` — `BakeReset` and `resetAfterBake`: the ratified reset scope, answered for
   both the parameter set and the post-mixer master gain.