{Compute} Update test case and add recording for FlexProfile feature - #34265

Node.js 20 is deprecated. The following actions target Node.js 20 but are being forced to run on Node.js 24: actions/checkout@11d5960a326750d5838078e36cf38b85af677262, actions/setup-python@3542bca2639a428e1796aaa6a2ffef0c0f575566. For more information see: https://github.blog/changelog/2025-09-19-deprecation-of-node-20-on-github-actions-runners/