Update smithy-rs to release-2025-10-02 (#1364)

Updates code generator that uses Smithy 1.62.0.

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Author: ysaito1001

config.json

@@ -1,5 +1,5 @@
 {
   "dependencies": {
-    "smithyRsVersion": "release-2025-10-01"
+    "smithyRsVersion": "release-2025-10-02"
   }
 }