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I'm under the impression that GL is acting as an agent for the government and does not own any of this property.Since G.L. is the actual first buyer from the government, the SF-97 will be in G.L.'s name. G.L. then in turn provides you with a SF-97 re-assignment form and bill of sale from them to you or as your state allows.
Some states do not accept the reassingment form in which case they usually title it in their name and then give the title to you with a bill of sale to you as you would purchase any other used vehicle.
The government must provide the SF-97 to the first buyer which is allways G.L. in the case of any vehicle auctioned through G.L.'s site.
GSA and other agencies are not the same process.