refactor(agent): replace the per-step advice seam with agent/session-prefix

Review discussion converged on the industry shape (Claude Code caches
user context per conversation; Codex separates initial context from
diffs; Kimi appends at continuation boundaries to protect prompt
caching): stable openers belong in a compose-once prefix, mid-session
changes belong in append-only history — not in a per-request slot.

agent/session-prefix fires ONCE per loop instance, lazily on its first
request-building step: the composed Message[] is deep-frozen, cached on
the transmission bookkeeping, recorded as EpochHeader.messagePrefix on
the anchoring 'initial'/'resume' snapshot, and reused verbatim for
every request the instance sends — prefix stability is structural, not
a producer discipline, and a resume recomposes with attributable drift.
The request is messagePrefix + boundary snapshot.

The per-step RequestAdvice/RequestAdviceContext surface and the
messageSuffix header field are dropped: the tail slot had no consumer,
and every current update pattern (new AGENTS.md discovered, memory
update, skills change) routes through the existing append-only history
channels — inject(), tools/post-execute additionalContext,
prompt-submit additionalContext — each paid once and prefix-cached
thereafter. The messagePrefix delta arm stays for codec totality; the
loop never produces one in practice.

packages/core/agent-loop/src/request-log.ts

@@ -12,11 +12,20 @@
 
 import { diffHeader, headerEquals, applyHeaderDelta } from '@deepseek-ai/dsh-session'
 import type { EpochHeader, Session } from '@deepseek-ai/dsh-session'
+import type { Message } from '@deepseek-ai/dsh-llm'
 
 /** Per-loop-instance bookkeeping: whether THIS instance has logged a header yet. */
 export interface TransmissionLog {
   /** True once this loop instance appended its anchoring `request/header` snapshot. */
   loggedHeader: boolean
+  /**
+   * The instance's composed session prefix (the `agent/session-prefix`
+   * waterfall's deep-frozen product), cached on the instance's first
+   * request-building step and reused verbatim for every request it sends —
+   * the structural guarantee that the prefix never changes mid-session.
+   * `undefined` until composed.
+   */
+  sessionPrefix?: Message[]
 }
 
 /**
@@ -61,7 +70,7 @@ export function recordRequestHeader(session: Session, state: TransmissionLog, he
   const baseline = session.requestHeader()!
   if (headerEquals(baseline, header)) return
   const delta = diffHeader(baseline, header)
-  /* v8 ignore next -- headerEquals false ⟹ diffHeader defined: both compare the same three parts */
+  /* v8 ignore next -- headerEquals false ⟹ diffHeader defined: both compare the same four parts */
   if (delta === undefined) return
   if (headerEquals(applyHeaderDelta(baseline, delta), header)) {
     session.append('request/header-delta', delta)