Never store requests (#3212)

When item ids are sent to Responses API it will load them from the
database ignoring the provided values. This adds extra latency.

Not having the mode to store requests also allows us to simplify the
code.

## Breaking change

The `disable_response_storage` configuration option is removed.

codex-rs/core/src/config.rs

@@ -78,11 +78,6 @@ pub struct Config {
     /// Defaults to `false`.
     pub show_raw_agent_reasoning: bool,
 
-    /// Disable server-side response storage (sends the full conversation
-    /// context with every request). Currently necessary for OpenAI customers
-    /// who have opted into Zero Data Retention (ZDR).
-    pub disable_response_storage: bool,
-
     /// User-provided instructions from AGENTS.md.
     pub user_instructions: Option<String>,
 
@@ -417,11 +412,6 @@ pub struct ConfigToml {
     /// Sandbox configuration to apply if `sandbox` is `WorkspaceWrite`.
     pub sandbox_workspace_write: Option<SandboxWorkspaceWrite>,
 
-    /// Disable server-side response storage (sends the full conversation
-    /// context with every request). Currently necessary for OpenAI customers
-    /// who have opted into Zero Data Retention (ZDR).
-    pub disable_response_storage: Option<bool>,
-
     /// Optional external command to spawn for end-user notifications.
     #[serde(default)]
     pub notify: Option<Vec<String>>,
@@ -640,7 +630,6 @@ pub struct ConfigOverrides {
     pub include_plan_tool: Option<bool>,
     pub include_apply_patch_tool: Option<bool>,
     pub include_view_image_tool: Option<bool>,
-    pub disable_response_storage: Option<bool>,
     pub show_raw_agent_reasoning: Option<bool>,
     pub tools_web_search_request: Option<bool>,
 }
@@ -668,7 +657,6 @@ impl Config {
             include_plan_tool,
             include_apply_patch_tool,
             include_view_image_tool,
-            disable_response_storage,
             show_raw_agent_reasoning,
             tools_web_search_request: override_tools_web_search_request,
         } = overrides;
@@ -802,11 +790,6 @@ impl Config {
                 .unwrap_or_else(AskForApproval::default),
             sandbox_policy,
             shell_environment_policy,
-            disable_response_storage: config_profile
-                .disable_response_storage
-                .or(cfg.disable_response_storage)
-                .or(disable_response_storage)
-                .unwrap_or(false),
             notify: cfg.notify,
             user_instructions,
             base_instructions,
@@ -1071,7 +1054,6 @@ exclude_slash_tmp = true
         let toml = r#"
 model = "o3"
 approval_policy = "untrusted"
-disable_response_storage = false
 
 # Can be used to determine which profile to use if not specified by
 # `ConfigOverrides`.
@@ -1101,7 +1083,6 @@ model_provider = "openai-chat-completions"
 model = "o3"
 model_provider = "openai"
 approval_policy = "on-failure"
-disable_response_storage = true
 
 [profiles.gpt5]
 model = "gpt-5"
@@ -1199,7 +1180,6 @@ model_verbosity = "high"
                 approval_policy: AskForApproval::Never,
                 sandbox_policy: SandboxPolicy::new_read_only_policy(),
                 shell_environment_policy: ShellEnvironmentPolicy::default(),
-                disable_response_storage: false,
                 user_instructions: None,
                 notify: None,
                 cwd: fixture.cwd(),
@@ -1257,7 +1237,6 @@ model_verbosity = "high"
             approval_policy: AskForApproval::UnlessTrusted,
             sandbox_policy: SandboxPolicy::new_read_only_policy(),
             shell_environment_policy: ShellEnvironmentPolicy::default(),
-            disable_response_storage: false,
             user_instructions: None,
             notify: None,
             cwd: fixture.cwd(),
@@ -1330,7 +1309,6 @@ model_verbosity = "high"
             approval_policy: AskForApproval::OnFailure,
             sandbox_policy: SandboxPolicy::new_read_only_policy(),
             shell_environment_policy: ShellEnvironmentPolicy::default(),
-            disable_response_storage: true,
             user_instructions: None,
             notify: None,
             cwd: fixture.cwd(),
@@ -1389,7 +1367,6 @@ model_verbosity = "high"
             approval_policy: AskForApproval::OnFailure,
             sandbox_policy: SandboxPolicy::new_read_only_policy(),
             shell_environment_policy: ShellEnvironmentPolicy::default(),
-            disable_response_storage: false,
             user_instructions: None,
             notify: None,
             cwd: fixture.cwd(),