You can modify the code temporarily by adding at line 232:

AND O.name = 'MY_TABLE_NAME'

So something like this:

FROM

'+@v_Database_Name+N'.[sys].[schemas] S

INNER JOIN '+@v_Database_Name+N'.[sys].[objects] O ON O.[schema_id] = S.[schema_id]

AND O.[type] IN ('+(CASE

WHEN @v_Object_Types IS NOT NULL THEN @v_Object_Types

ELSE N'''U'', ''V'''

END)+N')

AND O.name = ''MY_TABLE_NAME''

INNER JOIN '+@v_Database_Name+N'.[sys].[columns] C ON C.[object_id] = O.[object_id]