## Why
Server-level tool exposure settings apply to every connector on the apps server. Individual connectors need a way to opt out of deferred discovery without changing exposure for other apps.
## What changed
Add `apps.<connector_id>.omit_tools_from` with support for `code_mode`, `deferred`, and `direct`. Combine connector omissions with server omissions so app settings preserve server restrictions.
For example, `omit_tools_from = ["deferred"]` makes a connector's tools available without tool search, through direct calls or Code Mode as permitted by the active tool mode and remaining restrictions.
Expose the setting in the app-server protocol, JSON schemas, and generated TypeScript and Python types.
## Testing
Add integration coverage for connector-specific exposure and MCP dispatch across tool modes, server restrictions, and direct-only namespaces. Extend config tests to cover populated, absent, and empty omission lists, and add a Code Mode request-history snapshot.
GitOrigin-RevId: cc99ab290c8a878d06d8d7ccf2d1dbd7c46bfa8a