I have created several Google scripts but normally just interact with the sheet or database directly. I am not aware of an "AppSheet" library. But that does not mean there isn't one I haven't heard of yet.
Where did you find the statement "AppSheet.Tables"?
If there is such a library to use in our scripts, I'm not finding it in the GAS documentation. So, if you have access to such a custom library, you'd need to follow this GAS article for adding Libraries into the script:
https://developers.google.com/apps-script/guides/libraries
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