extract models manager and related ownership from core (#16508)

## Summary
- split `models-manager` out of `core` and add `ModelsManagerConfig`
plus `Config::to_models_manager_config()` so model metadata paths stop
depending on `core::Config`
- move login-owned/auth-owned code out of `core` into `codex-login`,
move model provider config into `codex-model-provider-info`, move API
bridge mapping into `codex-api`, move protocol-owned types/impls into
`codex-protocol`, and move response debug helpers into a dedicated
`response-debug-context` crate
- move feedback tag emission into `codex-feedback`, relocate tests to
the crates that now own the code, and keep broad temporary re-exports so
this PR avoids a giant import-only rewrite

## Major moves and decisions
- created `codex-models-manager` as the owner for model
cache/catalog/config/model info logic, including the new
`ModelsManagerConfig` struct
- created `codex-model-provider-info` as the owner for provider config
parsing/defaults and kept temporary `codex-login`/`codex-core`
re-exports for old import paths
- moved `api_bridge` error mapping + `CoreAuthProvider` into
`codex-api`, while `codex-login::api_bridge` temporarily re-exports
those symbols and keeps the `auth_provider_from_auth` wrapper
- moved `auth_env_telemetry` and `provider_auth` ownership to
`codex-login`
- moved `CodexErr` ownership to `codex-protocol::error`, plus
`StreamOutput`, `bytes_to_string_smart`, and network policy helpers to
protocol-owned modules
- created `codex-response-debug-context` for
`extract_response_debug_context`, `telemetry_transport_error_message`,
and related response-debug plumbing instead of leaving that behavior in
`core`
- moved `FeedbackRequestTags`, `emit_feedback_request_tags`, and
`emit_feedback_request_tags_with_auth_env` to `codex-feedback`
- deferred removal of temporary re-exports and the mechanical import
rewrites to a stacked follow-up PR so this PR stays reviewable

## Test moves
- moved auth refresh coverage from `core/tests/suite/auth_refresh.rs` to
`login/tests/suite/auth_refresh.rs`
- moved text encoding coverage from
`core/tests/suite/text_encoding_fix.rs` to
`protocol/src/exec_output_tests.rs`
- moved model info override coverage from
`core/tests/suite/model_info_overrides.rs` to
`models-manager/src/model_info_overrides_tests.rs`

---------

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

codex-rs/Cargo.toml

@@ -20,6 +20,7 @@ members = [
     "cloud-tasks-client",
     "cloud-tasks-mock-client",
     "cli",
+    "collaboration-mode-templates",
     "connectors",
     "config",
     "shell-command",
@@ -41,6 +42,8 @@ members = [
     "login",
     "codex-mcp",
     "mcp-server",
+    "model-provider-info",
+    "models-manager",
     "network-proxy",
     "ollama",
     "process-hardening",
@@ -48,6 +51,7 @@ members = [
     "rollout",
     "rmcp-client",
     "responses-api-proxy",
+    "response-debug-context",
     "sandboxing",
     "stdio-to-uds",
     "otel",
@@ -112,6 +116,7 @@ codex-backend-client = { path = "backend-client" }
 codex-chatgpt = { path = "chatgpt" }
 codex-cli = { path = "cli" }
 codex-client = { path = "codex-client" }
+codex-collaboration-mode-templates = { path = "collaboration-mode-templates" }
 codex-cloud-requirements = { path = "cloud-requirements" }
 codex-cloud-tasks-client = { path = "cloud-tasks-client" }
 codex-cloud-tasks-mock-client = { path = "cloud-tasks-mock-client" }
@@ -136,6 +141,8 @@ codex-lmstudio = { path = "lmstudio" }
 codex-login = { path = "login" }
 codex-mcp = { path = "codex-mcp" }
 codex-mcp-server = { path = "mcp-server" }
+codex-model-provider-info = { path = "model-provider-info" }
+codex-models-manager = { path = "models-manager" }
 codex-network-proxy = { path = "network-proxy" }
 codex-ollama = { path = "ollama" }
 codex-otel = { path = "otel" }
@@ -143,6 +150,7 @@ codex-plugin = { path = "plugin" }
 codex-process-hardening = { path = "process-hardening" }
 codex-protocol = { path = "protocol" }
 codex-responses-api-proxy = { path = "responses-api-proxy" }
+codex-response-debug-context = { path = "response-debug-context" }
 codex-rmcp-client = { path = "rmcp-client" }
 codex-rollout = { path = "rollout" }
 codex-sandboxing = { path = "sandboxing" }