Update copying API header files (#19736)
### Description
Make Linux logic consistent as Windows
### Motivation and Context
onnxruntime_lite_custom_op.h in Windows zip package but not in Linux zip
package
https://github.com/microsoft/onnxruntime/blob/acbfc29f272b5578145e7600bc42342e116ffbc2/tools/ci_build/github/azure-pipelines/templates/c-api-artifacts-package-and-publish-steps-windows.yml#L67
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