The Razer Blade Stealth uses USB Power Delivery through its Thunderbolt 3 based USB Type-C port which allows it to stay charged by many different chargers that support USB Power Delivery including the Plugable Thunderbolt 3 Docking Station with Power Delivery.
One of the two Thunderbolt 3 ports on the Plugable Thunderbolt 3 Docking Station with Power Delivery that is not labeled with a computer logo is standard 15 watts based which doesn't support additional charging. When the Razer Blade Stealth is docked onto this port through the Thunderbolt 3 cable, we'll see how charging goes between the 36% charged Razer PC and the Plugable dock over USB Power Delivery.
From the Granite River Labs GRL-USB-PD-A1 test software, we can see that the Plugable Thunderbolt 3 Docking Station with Power Delivery first follows up from initial Vendor Defined Messages to start communicating over USB Power Delivery by advertising a single 15 watts (5 volts @ 3 amps) source capability.
The Plugable charger can be seen to comply with the Razer Blade Stealth's initial request of an odd 0 watts (5 volts @ 0 amps).
We also observe after multiple Vendor Defined Messages, the Plugable Thunderbolt 3 Docking Station with Power Delivery still offers the same 15 watts (5 volts @ 3 amps) power profile as earlier advertised.
The Razer Blade Stealth then eventually requests and establishes 15 watts (5 volts @ 3 amps) power contract with the charger.
We further observe no current is being pulled which shows that the Razer Blade Stealth is not charging at all with the Plugable Thunderbolt 3 Docking Station with Power Delivery, while the PC's battery is 36% full.
This confirms that the non charging 15W based Thunderbolt 3 port on the Plugable Thunderbolt 3 Docking Station with Power Delivery can't be used to charge a Thunderbolt 3 computer like the Razer Blade Stealth when connected. Instead we recommend using the other Plugable Thunderbolt 3 host port that is marked with a computer logo as reviewed here.