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To connect the Razer Blade Stealth to pre-Thunderbolt 3 peripherals like the LaCie Rugged Thunderbolt External Hard Drive (USB 3.0), you'll need a special adapter like the StarTech Thunderbolt 3 to Thunderbolt Adapter.

Once you plug the StarTech Thunderbolt 3 to Thunderbolt Adapter into the Thunderbolt 3 port of the Razer Blade Stealth, you will get a message telling you to enable the Thunderbolt device before it can be used.  Note you will see the Thunderbolt device that is connected to the StarTech Thunderbolt 3 to Thunderbolt Adapter as the device that needs to be approved (and not the adapter itself).

After selecting 'Always Connect' in the Approve Thunderbolt Devices window, you can see the LaCie Rugged Thunderbolt External Hard Drive (USB 3.0) show up in the Attached Thunderbolt Devices window.

In the Windows Device Manager, we can also confirm the LaCie Rugged Thunderbolt External Hard Drive (USB 3.0) enumerates as a SATA AHCI Controller within the PCI Express Root Complex.

Finally, we can also confirm from Windows that the LaCie Rugged Thunderbolt External Hard Drive (USB 3.0) appears and file transfers are working well.

Like with any other drive, you can also safely eject the LaCie Rugged Thunderbolt External Hard Drive (USB 3.0) from the Razer Blade Stealth.

To StarTech Thunderbolt 3 to Thunderbolt Adapter works well with the Razer Blade Stealth, allowing it to connect to pre-Thunderbolt 3 peripherals like the LaCie Rugged Thunderbolt External Hard Drive (USB 3.0).