You can duplicate the files before you scale them:
on run {input}
set newFiles to {}
repeat with aFile in input
tell application "Finder" to set myFile to duplicate aFile
set end of newFiles to myFile as alias
end repeat
delay 1
return newFiles
end run
You can add another AppleScript at the end to deal with the files names:
on run {input}
repeat with myFile in input
tell application "System Events" to set oldName to myFile's name
set newName to do shell script "echo " & quoted form of oldName & " | sed -E 's/ ?copy ?[0-9?]*//'"
tell application "System Events" to set myFile's name to newName
end repeat
end run