Preserve app invocation context across MCP tool refreshes (#59991)

## What changed

Keep the advertised `_codex_apps.invocation_context` when an app's tool metadata refreshes on the same server connection, while using refreshed values for other metadata. If the invocation context changes on a different connection, skip the call as unavailable.

## Testing

Extend the code-mode compaction test to refresh app tools before resuming a cell and verify that calls retain the original invocation context while picking up the refreshed `resource_uri`.

GitOrigin-RevId: 1b6072faed74623994ea82035a6ed977451984a4

codex-rs/codex-mcp/src/binding.rs

@@ -284,6 +284,12 @@ impl PreparedMcpCall {
         self.tool_info.get()
     }
 
+    /// Whether the server connection that issued the step's tools still owns this call.
+    pub fn uses_connection_from(&self, binding: &McpBinding) -> bool {
+        self.connections
+            .shares_server_connection(&binding.connections, &self.server_name)
+    }
+
     /// Returns the configuration and approval authority captured with this client.
     pub fn config(&self) -> &McpConfig {
         &self.config

codex-rs/codex-mcp/src/connection_manager.rs

@@ -1195,6 +1195,13 @@ impl McpConnectionSet {
         self.servers.contains_key(server_name)
     }
 
+    pub(crate) fn shares_server_connection(&self, other: &Self, server: &str) -> bool {
+        self.servers
+            .get(server)
+            .zip(other.servers.get(server))
+            .is_some_and(|(left, right)| Arc::ptr_eq(&left.connection, &right.connection))
+    }
+
     pub(crate) async fn authentication_failed_servers(&self) -> Vec<String> {
         let mut failed_servers = Vec::new();
         for (server_name, view) in &self.servers {

codex-rs/codex-mcp/src/connection_manager_tests.rs

@@ -181,13 +181,7 @@ impl McpConnectionSet {
     }
 
     fn shares_test_connection_with(&self, other: &Self, name: &str) -> bool {
-        let Some(left) = self.servers.get(name) else {
-            return false;
-        };
-        let Some(right) = other.servers.get(name) else {
-            return false;
-        };
-        Arc::ptr_eq(&left.connection, &right.connection)
+        self.shares_server_connection(other, name)
     }
 }