In this PR, I am exploring migrating task kind to an invocation of Codex. The main reason would be getting rid off multiple `ConversationHistory` state and streamlining our context/history management. This approach depends on opening a channel between the sub-codex and codex. This channel is responsible for forwarding `interactive` (`approvals`) and `non-interactive` events. The `task` is responsible for handling those events. This opens the door for implementing `codex as a tool`, replacing `compact` and `review`, and potentially subagents. One consideration is this code is very similar to `app-server` specially in the approval part. If in the future we wanted an interactive `sub-codex` we should consider using `codex-mcp`
codex-protocol
This crate defines the "types" for the protocol used by Codex CLI, which includes both "internal types" for communication between codex-core and codex-tui, as well as "external types" used with codex app-server.
This crate should have minimal dependencies.
Ideally, we should avoid "material business logic" in this crate, as we can always introduce Ext-style traits to add functionality to types in other crates.