Free Texture Packer can be accessed from Github (it's the one by Odrick, right?).
The Shoebox AIR file can still be downloaded from the captured snapshot of the site with a timestamp of 20260301132329 (from Internet Archive).
Filename is ShoeBox_3.6.5_public.air , filesize is 1.73 MB, SHA-256 checksum is 59d950c3bc28c207ebf9a9bc315da972c4780cf3eaf4f6001e0fee854d573510 .
I'm putting all of that so you can confirm if this is the file. If so, you can link to that snapshot, then host it.
The bigger problem is to get 'Adobe AIR'. Should you use the snapshot, could you also link to Harman's website (since Adobe no longer hosts it and they officially took over)?