[apps] Store apps tool cache in disk to reduce startup time. (#11822)

We now write MCP tools from installed apps to disk cache so that they
can be picked up instantly at startup. We still do a fresh fetch from
remote MCP server but it's non blocking unless there's a cache miss.

- [x] Store apps tool cache in disk to reduce startup time.

codex-rs/core/src/mcp/mod.rs

@@ -24,6 +24,7 @@ use crate::features::Feature;
 use crate::mcp::auth::compute_auth_statuses;
 use crate::mcp_connection_manager::McpConnectionManager;
 use crate::mcp_connection_manager::SandboxState;
+use crate::mcp_connection_manager::codex_apps_tools_cache_key;
 
 const MCP_TOOL_NAME_PREFIX: &str = "mcp";
 const MCP_TOOL_NAME_DELIMITER: &str = "__";
@@ -208,6 +209,8 @@ pub async fn collect_mcp_snapshot(config: &Config) -> McpListToolsResponseEvent
         &config.permissions.approval_policy,
         tx_event,
         sandbox_state,
+        config.codex_home.clone(),
+        codex_apps_tools_cache_key(auth.as_ref()),
     )
     .await;