Normally, the original Portal Beta 2005 pgun had short sleeves. To make up for that, here is the 2005 pgun with the long sleeves patch.
To install, put the .vpk file in C:\your_steam_directory_or_nonsteam_p2_installation\steamapps\common\Portal 2\either_bin_or_portal2_dlc*
If you have a nonsteam installation, exclude steamapps\common.