[app-server-protocol] Add types for config

[celia-oai]

Currently the config returned by config/read in untyped. Add types so it's easier for client to parse the config. Since currently configs are all defined in snake case we'll keep that instead of using camel case like the rest of V2.

Sample output by testing using the app server test client:

{
<   "id": "f28449f4-b015-459b-b07b-eef06980165d",
<   "result": {
<     "config": {
<       "approvalPolicy": null,
<       "compactPrompt": null,
<       "developerInstructions": null,
<       "features": {
<         "experimental_use_rmcp_client": true
<       },
<       "forcedChatgptWorkspaceId": null,
<       "forcedLoginMethod": null,
<       "instructions": null,
<       "model": "gpt-5.1-codex-max",
<       "modelAutoCompactTokenLimit": null,
<       "modelContextWindow": null,
<       "modelProvider": null,
<       "modelReasoningEffort": null,
<       "modelReasoningSummary": null,
<       "modelVerbosity": null,
<       "model_providers": {
<         "local": {
<           "base_url": "http://localhost:8061/api/codex",
<           "env_http_headers": {
<             "ChatGPT-Account-ID": "OPENAI_ACCOUNT_ID"
<           },
<           "env_key": "CHATGPT_TOKEN_STAGING",
<           "name": "local",
<           "wire_api": "responses"
<         }
<       },
<       "model_reasoning_effort": "medium",
<       "notice": {
<         "hide_gpt-5.1-codex-max_migration_prompt": true,
<         "hide_gpt5_1_migration_prompt": true
<       },
<       "profile": null,
<       "profiles": {},
<       "projects": {
<         "/Users/celia/code": {
<           "trust_level": "trusted"
<         },
<         "/Users/celia/code/codex": {
<           "trust_level": "trusted"
<         },
<         "/Users/celia/code/openai": {
<           "trust_level": "trusted"
<         }
<       },
<       "reviewModel": null,
<       "sandboxMode": null,
<       "sandboxWorkspaceWrite": null,
<       "tools": {
<         "viewImage": null,
<         "webSearch": null
<       }
<     },
<     "origins": {
<       "features.experimental_use_rmcp_client": {
<         "name": "user",
<         "source": "/Users/celia/.codex/config.toml",
<         "version": "sha256:a1d8eaedb5d9db5dfdfa69f30fa9df2efec66bb4dd46aa67f149fcc67cd0711c"
<       },
<       "model": {
<         "name": "user",
<         "source": "/Users/celia/.codex/config.toml",
<         "version": "sha256:a1d8eaedb5d9db5dfdfa69f30fa9df2efec66bb4dd46aa67f149fcc67cd0711c"
<       },
<       "model_providers.local.base_url": {
<         "name": "user",
<         "source": "/Users/celia/.codex/config.toml",
<         "version": "sha256:a1d8eaedb5d9db5dfdfa69f30fa9df2efec66bb4dd46aa67f149fcc67cd0711c"
<       },
<       "model_providers.local.env_http_headers.ChatGPT-Account-ID": {
<         "name": "user",
<         "source": "/Users/celia/.codex/config.toml",
<         "version": "sha256:a1d8eaedb5d9db5dfdfa69f30fa9df2efec66bb4dd46aa67f149fcc67cd0711c"
<       },
<       "model_providers.local.env_key": {
<         "name": "user",
<         "source": "/Users/celia/.codex/config.toml",
<         "version": "sha256:a1d8eaedb5d9db5dfdfa69f30fa9df2efec66bb4dd46aa67f149fcc67cd0711c"
<       },
<       "model_providers.local.name": {
<         "name": "user",
<         "source": "/Users/celia/.codex/config.toml",
<         "version": "sha256:a1d8eaedb5d9db5dfdfa69f30fa9df2efec66bb4dd46aa67f149fcc67cd0711c"
<       },
<       "model_providers.local.wire_api": {
<         "name": "user",
<         "source": "/Users/celia/.codex/config.toml",
<         "version": "sha256:a1d8eaedb5d9db5dfdfa69f30fa9df2efec66bb4dd46aa67f149fcc67cd0711c"
<       },
<       "model_reasoning_effort": {
<         "name": "user",
<         "source": "/Users/celia/.codex/config.toml",
<         "version": "sha256:a1d8eaedb5d9db5dfdfa69f30fa9df2efec66bb4dd46aa67f149fcc67cd0711c"
<       },
<       "notice.hide_gpt-5.1-codex-max_migration_prompt": {
<         "name": "user",
<         "source": "/Users/celia/.codex/config.toml",
<         "version": "sha256:a1d8eaedb5d9db5dfdfa69f30fa9df2efec66bb4dd46aa67f149fcc67cd0711c"
<       },
<       "notice.hide_gpt5_1_migration_prompt": {
<         "name": "user",
<         "source": "/Users/celia/.codex/config.toml",
<         "version": "sha256:a1d8eaedb5d9db5dfdfa69f30fa9df2efec66bb4dd46aa67f149fcc67cd0711c"
<       },
<       "projects./Users/celia/code.trust_level": {
<         "name": "user",
<         "source": "/Users/celia/.codex/config.toml",
<         "version": "sha256:a1d8eaedb5d9db5dfdfa69f30fa9df2efec66bb4dd46aa67f149fcc67cd0711c"
<       },
<       "projects./Users/celia/code/codex.trust_level": {
<         "name": "user",
<         "source": "/Users/celia/.codex/config.toml",
<         "version": "sha256:a1d8eaedb5d9db5dfdfa69f30fa9df2efec66bb4dd46aa67f149fcc67cd0711c"
<       },
<       "projects./Users/celia/code/openai.trust_level": {
<         "name": "user",
<         "source": "/Users/celia/.codex/config.toml",
<         "version": "sha256:a1d8eaedb5d9db5dfdfa69f30fa9df2efec66bb4dd46aa67f149fcc67cd0711c"
<       },
<       "tools.web_search": {
<         "name": "user",
<         "source": "/Users/celia/.codex/config.toml",
<         "version": "sha256:a1d8eaedb5d9db5dfdfa69f30fa9df2efec66bb4dd46aa67f149fcc67cd0711c"
<       }
<     }
<   }
< }

[chatgpt-codex-connector]

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[chatgpt-codex-connector]

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