The animation work for me when I load your project, so this is most likely a configuration issue on your computer.
Maybe you have accidentally remove the animation from your system?
Or maybe you have changed the system folder, so the software cannot find the animation?
If it's not working on one but another then what are the differences in both. Specwise, browser(s) what plugins (browsers) are installed on one but not the other? What AV (Anti Virus) and so on...
As mentioned by Pablo it most likely a system configuration try the following on the Laptop. Settings>Accessibility>Visual Effects>Turn On Animation Effects
Maybe you have accidentally remove the animation from your system?
Or maybe you have changed the system folder, so the software cannot find the animation?