[Core] NoCloudAccessError check is escaped from storage sync

[HysunHe]

Resolve the issue #4367

After fix, the message shown:

Launching a new service 'http-server'. Proceed? [Y/n]:
⚙︎ Translating workdir to SkyPilot Storage...
Workdir: 'examples/serve/http_server' -> storage: 'skypilot-workdir-hysunhe-f650b5f9'.
sky.exceptions.NotSupportedError: Unable to use workdir - no cloud with object store is enabled. Please enable at least one cloud with object store support (AWS, GCP, Azure, IBM, Cloudflare) by running sky check, or remove workdir from your task.
Hint: If you do not have any cloud access, you may still download data and code over the network using curl or other tools in the setup section of the task.

Tested (run the relevant ones):

• Code formatting: bash format.sh
• Any manual or new tests for this PR (please specify below)
• All smoke tests: pytest tests/test_smoke.py
• Relevant individual smoke tests: pytest tests/test_smoke.py::test_fill_in_the_name
• Backward compatibility tests: conda deactivate; bash -i tests/backward_compatibility_tests.sh

[cblmemo]

Thanks for the fix @HysunHe ! LGTM.