In coming months I am taking possession of a triplex with the intent to use the BRRRR strategy. 2 of the 3 units will undergo kitchen and bathroom renovations.

I had filed a dispossessory warrant, no reply from tenant, then went to file for the writ of possession (i.e. the actual eviction).

Priced for quick sale -Quit claim deed issued, ownership rights and possession are immediate."

Do a quit claim deedquitclaim deed The entity transferring its interest is called the grantorUnlike most other property deeds, a quitclaim deed "contains no title covenant and thus offers the grantee no warranty as to the status of the property title";[2] the "grantee is entitled ONLY to whatever interest the grantor actually possesses at the time the transfer" occurs.[3]

First auction this Nov-No viewing, no contingencies, DO NOT DISTURB OCCUPANT, buyer responsible for taking possession of property (running off the real owner, me!) 

It also depends on the severity of the offense, possession or dealing, without details, can't say.

This can vary by state/jurisdiction, but an eviction (Unlawful Detainer) is typically the process by which a landlord seeks to have a tenant removed from a property that they continue to occupy/use/have possession of in violation of the lease. 

He just took possession this spring, which is only a few years later.

So get it back on the MLS the same day you take possession.

Kinda the worst of both your scenarios, plus one you didn't mention: long term tenant, followed by a long vacancy - one month before we have legal possession and have removed their chattel and 4-6 weeks beyond to refurbish the property ... we'll be lucky to have it rented by Jan.