feat: split memories part 2 (#19860)

Keep extracting memories out of core and moving the write trigger in the
app-server
This is temporary and it should move at the client level as a follow-up
This makes core fully independant from `codex-memories-write`

---------

Co-authored-by: Codex <noreply@openai.com>

codex-rs/Cargo.lock

@@ -1859,6 +1859,7 @@ dependencies = [
  "codex-git-utils",
  "codex-login",
  "codex-mcp",
+ "codex-memories-write",
  "codex-model-provider",
  "codex-model-provider-info",
  "codex-models-manager",
@@ -2118,6 +2119,7 @@ dependencies = [
  "codex-login",
  "codex-mcp",
  "codex-mcp-server",
+ "codex-memories-write",
  "codex-models-manager",
  "codex-protocol",
  "codex-responses-api-proxy",
@@ -2373,7 +2375,6 @@ dependencies = [
  "codex-login",
  "codex-mcp",
  "codex-memories-read",
- "codex-memories-write",
  "codex-model-provider",
  "codex-model-provider-info",
  "codex-models-manager",
@@ -2386,7 +2387,6 @@ dependencies = [
  "codex-rollout",
  "codex-rollout-trace",
  "codex-sandboxing",
- "codex-secrets",
  "codex-shell-command",
  "codex-shell-escalation",
  "codex-state",
@@ -2957,18 +2957,32 @@ version = "0.0.0"
 dependencies = [
  "anyhow",
  "chrono",
+ "codex-config",
+ "codex-core",
+ "codex-features",
  "codex-git-utils",
+ "codex-login",
  "codex-models-manager",
+ "codex-otel",
  "codex-protocol",
+ "codex-rollout",
+ "codex-rollout-trace",
+ "codex-secrets",
  "codex-state",
+ "codex-terminal-detection",
  "codex-utils-absolute-path",
  "codex-utils-output-truncation",
  "codex-utils-template",
+ "core_test_support",
+ "futures",
  "pretty_assertions",
+ "serde",
+ "serde_json",
  "tempfile",
  "tokio",
  "tracing",
  "uuid",
+ "wiremock",
 ]
 
 [[package]]