Always send reasoning parameters in Responses requests (#32206)

## What changed

- Build a reasoning payload for every Responses request and always include `reasoning.encrypted_content`.
- Remove `supports_reasoning_summaries` from model metadata and retire the `model_supports_reasoning_summaries` configuration override.
- Use configured or model-default reasoning effort without a capability gate, including for guardian reviews and tracing.

GitOrigin-RevId: 2c9f194a5d2d4d688a2235299e6358f82ab8e1ea

codex-rs/thread-manager-sample/src/main.rs

@@ -260,7 +260,6 @@ fn new_config(model: Option<String>, arg0_paths: Arg0DispatchPaths) -> anyhow::R
         model_reasoning_effort: None,
         plan_mode_reasoning_effort: None,
         model_reasoning_summary: None,
-        model_supports_reasoning_summaries: None,
         model_catalog: None,
         model_verbosity: None,
         chatgpt_base_url: "https://chatgpt.com/backend-api/".to_string(),