fix(app-server): fix optional bool annotations (#24099)

`#[serde(default)]` wasn't sufficient for our generated TS types to
reflect that clients didn't have to set them. We also need
`skip_serializing_if = "std::ops::Not::not"`. This is already a rule in
our agents.md file.

codex-rs/app-server-protocol/src/protocol/common.rs

@@ -2547,8 +2547,22 @@ mod tests {
             json!({
                 "method": "account/read",
                 "id": 6,
+                "params": {}
+            }),
+            serde_json::to_value(&request)?,
+        );
+        let request = ClientRequest::GetAccount {
+            request_id: RequestId::Integer(7),
+            params: v2::GetAccountParams {
+                refresh_token: true,
+            },
+        };
+        assert_eq!(
+            json!({
+                "method": "account/read",
+                "id": 7,
                 "params": {
-                    "refreshToken": false
+                    "refreshToken": true
                 }
             }),
             serde_json::to_value(&request)?,