feat: add ZDR support to Rust implementation (#642)

This adds support for the `--disable-response-storage` flag across our
multiple Rust CLIs to support customers who have opted into Zero-Data
Retention (ZDR). The analogous changes to the TypeScript CLI were:

* https://github.com/openai/codex/pull/481
* https://github.com/openai/codex/pull/543

For a client using ZDR, `previous_response_id` will never be available,
so the `input` field of an API request must include the full transcript
of the conversation thus far. As such, this PR changes the type of
`Prompt.input` from `Vec<ResponseInputItem>` to `Vec<ResponseItem>`.

Practically speaking, `ResponseItem` was effectively a "superset" of
`ResponseInputItem` already. The main difference for us is that
`ResponseItem` includes the `FunctionCall` variant that we have to
include as part of the conversation history in the ZDR case.

Another key change in this PR is modifying `try_run_turn()` so that it
returns the `Vec<ResponseItem>` for the turn in addition to the
`Vec<ResponseInputItem>` produced by `try_run_turn()`. This is because
the caller of `run_turn()` needs to record the `Vec<ResponseItem>` when
ZDR is enabled.

To that end, this PR introduces `ZdrTranscript` (and adds
`zdr_transcript: Option<ZdrTranscript>` to `struct State` in `codex.rs`)
to take responsibility for maintaining the conversation transcript in
the ZDR case.

codex-rs/tui/src/app.rs

@@ -40,6 +40,7 @@ impl App<'_> {
         show_git_warning: bool,
         initial_images: Vec<std::path::PathBuf>,
         model: Option<String>,
+        disable_response_storage: bool,
     ) -> Self {
         let (app_event_tx, app_event_rx) = channel();
         let scroll_event_helper = ScrollEventHelper::new(app_event_tx.clone());
@@ -85,6 +86,7 @@ impl App<'_> {
             initial_prompt.clone(),
             initial_images,
             model,
+            disable_response_storage,
         );
 
         let app_state = if show_git_warning {