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/core/src/config/mod.rs

@@ -952,9 +952,6 @@ pub struct Config {
     /// using the Responses API. When unset, the model catalog default is used.
     pub model_reasoning_summary: Option<ReasoningSummary>,
 
-    /// Optional override to force-enable reasoning summaries for the configured model.
-    pub model_supports_reasoning_summaries: Option<bool>,
-
     /// Optional full model catalog loaded from `model_catalog_json`.
     /// When set, this replaces the bundled catalog for the current process.
     pub model_catalog: Option<ModelsResponse>,
@@ -1476,7 +1473,6 @@ impl Config {
             tool_output_token_limit: self.tool_output_token_limit,
             base_instructions: self.base_instructions.clone(),
             personality_enabled: self.features.enabled(Feature::Personality),
-            model_supports_reasoning_summaries: self.model_supports_reasoning_summaries,
             model_catalog: self.model_catalog.clone(),
         }
     }
@@ -3903,7 +3899,6 @@ impl Config {
             model_reasoning_effort: cfg.model_reasoning_effort,
             plan_mode_reasoning_effort: cfg.plan_mode_reasoning_effort,
             model_reasoning_summary: cfg.model_reasoning_summary,
-            model_supports_reasoning_summaries: cfg.model_supports_reasoning_summaries,
             model_catalog,
             model_verbosity: cfg.model_verbosity,
             chatgpt_base_url: cfg