Newbe at Applescript - Need Help Getting Applescript to Auto-Run

Question

Ok so I admit I'm new at creating Apple Scripts, but here's my dilemma:
I have created an Apple Script to mount and unmount my new LaCie d2 Quadra 1TB drive (For use with the LaCie "Shortcut Button), the script "runs" great in Script Editor. However, when finally saved to a newly created Mac HD>Library Folder>Scripts Folder>LaCie d2 Shortcut Button Scripts Folder ... when I use the LaCie d2 front panel "shortcut button", the script launches the Script Editor app and the script shows in the script window. If I select "run" in the window the script will mount and then unmount the LaCie drive (in the Finder), as designed to do.
My issue is, obviously, how do I get the script to run/activate "behind the scenes without always
launching the Apple Script Editor app.
Have I saved the script wrong or something else?
Is the script something to be "run" through Apple Automator?
Any assistance will be appreciated.
This is the script:
tell application "Finder"
if not (exists the disk "LaCie 1TB") then
do shell script "diskutil mount `disktool -l | grep 'LaCie 1TB' |
sed 's/.\(disk[0-9s]*\)./\\1/'`"
delay 2
else
eject "LaCie 1TB"
delay 2
end if
end tell

Answer 1

Ah yes ... changing the Apple Script from .scpt to .app., that works!
But I still notice that when the LaCie d2 Quadra 1TB drive "front short-cut button"
is selected, and it mounts and dismounts the drive from the finder as the Apple Script
was written to do .... that the Apple script still launches the "script icon and the script saved text title", briefly in the bottom dock. It then disappears out of the dock once the script has "run".
Is there any way to keep the "script icon and the script saved text title" from launching in the dock (when the script first runs), and just have it launch invisibly "behind the scene" so to speak?