## Why
Codex Apps-specific behavior is currently distributed across cache
helpers, startup, tool conversion, and model-visible annotation. Each
layer independently checks the reserved server name, which obscures the
boundary between trusted host-owned connector metadata and regular MCP
server data.
Classifying the server once when `AsyncManagedClient` is created gives
the client a single source of truth and makes the two processing paths
explicit.
## What changed
- Record whether an `AsyncManagedClient` represents the Codex Apps
server at construction time.
- Route startup cache loading, cache persistence, and cache telemetry
through the Codex Apps branch.
- Split uncached tool conversion between Codex Apps normalization and
regular MCP metadata sanitization.
- Split model-visible schema and plugin provenance handling along the
same boundary.
- Remove redundant server-name guards from helpers that are now called
only from the Codex Apps branch.
## Verification
- Preserve behavioral coverage that verifies Codex Apps connector
metadata and the complete converted `ToolInfo` shape.
## Stack
Depends on #29518.
Ahmed IbrahimandGitHub
f0ad028a74