## Why
Connector metadata is consumed by connector discovery, ChatGPT
integration, core, and TUI code. Treating app-server's wire DTO as the
shared domain model reverses the intended dependency direction.
## What changed
- Added connector-owned app branding, review, screenshot, metadata, and
info types.
- Added explicit conversions in app-server and TUI while preserving
app-server's wire payloads.
- Removed production app-server-protocol dependencies from connectors
and ChatGPT connector code.
## Stack
This is PR 4 of 6, stacked on [PR
#29722](https://github.com/openai/codex/pull/29722). Review only the
delta from `codex/split-config-layer-types`. Next: [PR
#29724](https://github.com/openai/codex/pull/29724).
## Validation
- Connector and tools coverage passed.
- App-server app-list coverage passed: 13 tests.