[SYCL][CI][NewOffloadModel] Enable CTS testing for New Offload Model in sycl-nightly (#21720)
This patch enables testing of New Offload Model for CTS tests for
Linux/Windows in the
nightly workflow, following the same pattern used for E2E tests.
Assisted-By: Claude Code
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Co-authored-by: Claude Sonnet 4.5 <noreply@anthropic.com>