## Context
This is PR4 in the plugin auth-routing stack. The earlier PRs make
plugin surface projection auth-aware and narrow App/MCP conflicts by App
declaration name. This PR keeps connector listing paths aligned with
that projected plugin App set.
This means ChatGPT/SIWC users will still see plugin-provided Apps in
connector listing surfaces like the Apps/connector picker, while API-key
users will not see Apps they cannot use.
## Stack
- PR1: #27652 seed plugin manager auth at construction.
- PR2: #27459 route plugin surfaces by auth mode.
- PR3: #27607 dedupe plugin MCP servers by App declaration name.
- PR4: #27602 preserve plugin Apps in connector listings.
- PR5: #27461 skip install-time plugin MCP OAuth for matching App
routes.
## Summary
- Have app-server compute effective plugin Apps from the existing
PluginsManager and pass them into connector listing.
- Keep plugin Apps visible in Apps/connector listing for ChatGPT/SIWC
users.
- Keep API-key-style auth from surfacing plugin Apps in connector
listings.
## Validation
```bash
cargo test -p codex-chatgpt connectors::tests
cargo test -p codex-app-server list_apps_includes_plugin_apps_for_chatgpt_auth
git diff --check
```
felixxia-oaiandGitHub
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