The sister chassis raced by Pye was sold to an unnamed bidder via the same format last October.
WR 023 is listed for auction to be delivered at the end of the 2020 season, as an '18-spec rolling chassis.
The new owner can select any 2019 Mobil 1 MEGA Racing livery, or take an option to convert it back to a VF in a '16 HRT livery.
"It’s extremely exciting to once again be offering the opportunity to purchase a Supercar to the public, especially one that will go down in history," co-team principal Bruce Stewart said.
"We were the first team in Supercars to offer the pre-sale opportunity, and after the success and interest it generated, we are delighted to do it again through a known and trusted auctioneer in Lloyds.
"To own a Walkinshaw Andretti United built and prepared car is a rare opportunity, but to know that it was the last race winner under the HRT banner makes it extra special, which Holden fan wouldn’t want this.
"Not only that, but the added benefits means the owner will be part of the team, as their car takes the track."