docs: fold P3 engine-CPU decomposition into D1, fallback, and fit window

Dawn's P3 replica-subtraction measurement (2026-07-30, receipts in
RESEARCH/BB_PUBLIC_REDIS_P3_ENGINE_CPU_DECOMPOSITION.md) resolves the
open <25%-decomposition caveat and lands three spec updates:

- D1 gets its gated input: ~40% of primary engine CPU is write-apply +
  publish propagation (the never-read replica carries 7.8pp of 19.5pp);
  ~60% is client-facing and divides only as connections/subscriptions
  redistribute. Notes the A4 dependency (propagation confines to the
  owning shard only after P2) plus two measurement cautions: the
  pub/sub-vs-keyed regression split is unidentifiable (r=0.997), and
  the apparent sublinearity is a ~1.1% fixed baseline.
- Fallback row corrected: the replica is not idle — 7.8% is its own
  unsheddable load on a ~3.8d doubling, saturating alone in ~14 days.
  Kickoff's 'idles at 7%' framing removed.
- Problem statement gains the measured fit window: sharp onset
  2026-07-21 ~18:00Z; fits must start post-onset; curr_connections
  moves in pool-config plateaus, not demand. Onset unattributed
  pending deploy history.

Summary timeline row updated to the fitted ~7d-to-80% with the
degraded-fallback note. Model and configs untouched; doc only.

Co-authored-by: npub1qyvc0c5kl4gqv2fd97fsk46tu378sqgy35vc83rvgfwne90sel7s0ed67d <011987e296fd5006292d2f930b574be47c7801048d1983c46c425d3c95f0cffd@buzz.block.builderlab.xyz>
Signed-off-by: npub1qyvc0c5kl4gqv2fd97fsk46tu378sqgy35vc83rvgfwne90sel7s0ed67d <011987e296fd5006292d2f930b574be47c7801048d1983c46c425d3c95f0cffd@buzz.block.builderlab.xyz>

docs/redis-cluster-mode.md

@@ -83,6 +83,13 @@ profile `bb-public-operations-ro`).
   scaling is dead: same-family bigger instances have identical single-core
   speed; r8g (Graviton4) buys ~25–30% single-thread ≈ 1.5 days at the current
   doubling rate.
+- **Fit window (measured, P3):** the curve has a sharp onset at 2026-07-21
+  ~18:00Z — flat ~0.55% for the preceding five days, then exponential within
+  one 15-min bin (subscribed channels 74→1303 in four hours at a pinned
+  connection count). Growth fits must start after the onset or they mix two
+  regimes. `curr_connections` moves in pool-config plateaus (40.0 → 74.9 →
+  ~280) and must not be read as demand. The onset is unattributed; confirming
+  what reached bb-public at 18:00Z needs deploy-history access.
 
 ## System Model
 
@@ -622,11 +629,15 @@ keep CPU <80% during resharding — resharding is compute-intensive, and doing
 it while the engine core saturates is the worst time. The countdown clock is
 the argument for starting G1 now, not for heroics at 90%.
 
-**Fallback (curve outruns the plan):** replica read offload
+**Fallback (curve outruns the plan):** replica read offload. Downgraded but
-(`buzz-001-002` idles at 7%) buys roughly one doubling. Note the coupling: in
+not dead (P3, measured 2026-07-30): the replica is **not idle** — its 7.8%
-cluster mode, replica reads lean on exactly the replica-repair path fixed in
+engine CPU is its own write-apply + propagation load, unsheddable, on its own
-redis-rs #2120/#2223, so the version floor is a prerequisite for the fallback
+exponential (doubling ~3.8d; saturates alone in ~14 days serving zero reads).
-too, not just hygiene.
+Offload still buys primary time, but the destination is a node ~6 days behind
+the primary on the same clock — size against its remaining headroom, not
+"93% free". Note the coupling: in cluster mode, replica reads lean on exactly
+the replica-repair path fixed in redis-rs #2120/#2223, so the version floor
+is a prerequisite for the fallback too, not just hygiene.
 
 ## Conformance (test matrix, gate G2)
 
@@ -733,9 +744,22 @@ REDIS_CLUSTER_PRODUCTION_PRIOR_ART.md`, `…_OPEN_SOURCE_PRIOR_ART.md`,
   in (2026-07-30): keyed-command growth is uniform (no hot path in the
   command mix), and the hottest-shard imbalance factor is ~1.5x fair share
   at 4 shards (see §Sharded Pub/Sub Conversion) — do not size by
-  `current/N`. Caveat: per-family `rate x latency` accounts for well under a
+  `current/N`. The earlier caveat that per-family `rate x latency` explains
-  quarter of measured engine CPU, so the decomposition is not a complete
+  under a quarter of engine CPU is now resolved by measurement (P3,
-  cost model; D1 stays open.
+  replica-subtraction natural experiment: the never-read replica carries
+  7.8pp of the primary's 19.5pp): **~40% of primary engine CPU is
+  write-apply + publish propagation; ~60% is client-facing** (reads, Lua,
+  connection I/O, subscriber delivery) and divides only as connections and
+  subscriptions redistribute across shards. One dependency inside the 40%:
+  write-apply partitions by key unconditionally, but by A4 the propagation
+  component confines to the owning shard **only after P2 lands** — with
+  classic pub/sub, every node processes every publish. So the ~40% is the
+  shardable fraction *with* P2, an upper bound without it. Two further
+  cautions from the same measurement set: engine CPU cannot be split
+  pub/sub-vs-keyed by regression (rates collinear at r=0.997; subsampled
+  shares swing 4%→37%), and the apparent sublinearity of CPU vs. rate is a
+  ~1.1% fixed baseline, not economies of scale — do not project on the
+  exponent. D1 stays open pending the P2/imbalance-adjusted arithmetic.
 - **D2 — Pattern subscribers stay classic.** Accepted in design; re-opens
   only if G0 shows their volume is non-trivial. **Measured 2026-07-30: D2
   holds.** All publishers are lifecycle/admin-rate (code trace, verified
@@ -763,4 +787,4 @@ REDIS_CLUSTER_PRODUCTION_PRIOR_ART.md`, `…_OPEN_SOURCE_PRIOR_ART.md`,
 | Sharded pub/sub necessity | Documented fact | Axiom A4 (Valkey cluster spec) |
 | Sharded pub/sub at scale | **No prior art** | Buzz-specific load/reconnect gate in G2 |
 | Shard count | **Open** | G0 profile (D1) |
-| Timeline | ~8–10 days of runway at current doubling | G1 starts now; fallback = replica offload |
+| Timeline | ~7 days to 80% on the primary (fitted, post-onset window) | G1 starts now; fallback = replica offload (degraded — replica not idle, ~14d to its own saturation) |