vim.tiny cycle through files

In a vim compiled with '+extra_search',
doing ':bn!' will cycle through all files.

In vim.tiny ':n' will edit the next file.

When editing more than one file
if ':n' is used in the last file an error
'E165: Cannot go beyond last file' is generated.

I know I can use ':N' to go to the previous file,
':rewind' or ':first' to start at the first file.

Is it possible to detect the E165 and issue ':rewind' in the same vim map command? Remember vim.tiny does not have '+eval'.

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