The "Internet Archive's Tucows Software Archive" keeps a copy of the program but registered its status as (in its days) "Shareware".
Unsure if it the program once if was archived became freeware as I use it with my license key, bought in the days it was still supported.
For the record:
After CuteSiteBuilder got plugged a hacked version was created.
People were furious the program got discontinued.
I never ran the the hacked version because I have a license key. When some zealous malware program flagged it up as containing malicious code I deleted the file.
Registration of the software had an online component. Because of users' protests Globalscape allowed installation with the same license key on 5 computers. That was followed up strictly: when installing a 6th time activation would fail. Globalscape Support was for a long time still available and very helpful resetting the counter when requested.
I don't think that since the CuteSiteBuilder page and Forum got scrapped any support can still be reached. Maybe once Globalscape disabled their CuteSiteBuilder presence online they also disabled the software installation counter? Better would be if they had disabled the Trial period from expiring. As they had to discontinue the sale of the program because they did not own the rights on a crucial piece of code the odds are slim they were allowed to give it all away even after more than a decade. CuteSiteBuilder was of little to no importance to Globalscape when they provided it to the "Internet Archive" so what are the chances they spent any effort on disabling the trial version from expiring?
My suggestion would be to try the software installing it with a program that allows to fully uninstall it if the Trial does expire.
A program like RevoUninstall could allow a clean install over and over. Just meke sure to keep your *.TLX file (and saved HTML files) in a safe place when un- and re-installing. These are the files CuteSiteBuilder creates and uploads for you to place your website online.
CuteSiteBuilder is a great program. It has aged. Fancy stuff like auto-adjustment for mobile phone screens etc. was not implemented as mobiles were barely coming available when the program launched. CuteSiteBuilder still is nevertheless very functional to get your message out on a simple site. If having to re-install the progam to be able to use it after the trial period it is a small effort to keep you going. The faith of this piece of software is a good example of how copyright issues can interfere with creativity and steers development.