rollout: store web search and mcp tool calls (#21054)

Codex App would like these.

codex-rs/rollout/src/policy.rs

@@ -102,10 +102,12 @@ fn event_msg_persistence_mode(ev: &EventMsg) -> Option<EventPersistenceMode> {
         | EventMsg::ContextCompacted(_)
         | EventMsg::EnteredReviewMode(_)
         | EventMsg::ExitedReviewMode(_)
+        | EventMsg::McpToolCallEnd(_)
         | EventMsg::ThreadRolledBack(_)
         | EventMsg::TurnAborted(_)
         | EventMsg::TurnStarted(_)
         | EventMsg::TurnComplete(_)
+        | EventMsg::WebSearchEnd(_)
         | EventMsg::ImageGenerationEnd(_) => Some(EventPersistenceMode::Limited),
         EventMsg::ItemCompleted(event) => {
             // Plan items are derived from streaming tags and are not part of the
@@ -117,14 +119,9 @@ fn event_msg_persistence_mode(ev: &EventMsg) -> Option<EventPersistenceMode> {
                 None
             }
         }
-        EventMsg::McpToolCallEnd(event) if event.mcp_app_resource_uri.is_some() => {
-            Some(EventPersistenceMode::Limited)
-        }
         EventMsg::Error(_)
         | EventMsg::GuardianAssessment(_)
-        | EventMsg::WebSearchEnd(_)
         | EventMsg::ExecCommandEnd(_)
-        | EventMsg::McpToolCallEnd(_)
         | EventMsg::ViewImageToolCall(_)
         | EventMsg::CollabAgentSpawnEnd(_)
         | EventMsg::CollabAgentInteractionEnd(_)