Background: Phish is an American rock band that was founded at the University of Vermont in Burlington, Vermont in 1983. It is known for musical improvisation, extended jams, blending of genres, and a dedicated fan base. The current line-up--guitarist and lead vocalist Trey Anastasio, bassist and vocalist Mike Gordon, drummer and vocalist Jon Fishman, and keyboardist and vocalist Page McConnell--performed together for 15 years before going on hiatus from October 7, 2000, to December 30, 2002. They resumed touring from December 31, 2002, until August 15, 2004, when they announced that the Coventry Festival would be their last show.
Context: Phish was formed at the University of Vermont (UVM) in 1983 by guitarists Trey Anastasio and Jeff Holdsworth, bassist Mike Gordon, and drummer Jon Fishman. For their first gig, at Harris Millis Cafeteria at the University of Vermont on December 2, 1983, the band was billed as "Blackwood Convention". ("Blackwood convention" is a term from the card game contract bridge.) The band was joined by percussionist Marc Daubert in the fall of 1984, a time during which they promoted themselves as playing Grateful Dead songs. Daubert left the band early in 1985, and Page McConnell then joined the group on keyboards and made his debut on May 3, 1985, at a show at Wilks/Davis/Wing Dormitory on Redstone Campus at UVM. Holdsworth left the group after graduating in 1986, solidifying the band's lineup of "Trey, Page, Mike, and Fish"--the lineup to this day.  Following a prank at UVM with his friend and former bandmate Steve Pollak--also known as "The Dude of Life"--Anastasio decided to leave the college. With the encouragement of McConnell (who received $50 for each transferee), Anastasio and Fishman relocated in mid-1986 to Goddard College, a small school in the hills of Plainfield, Vermont. Phish distributed at least six different experimental self-titled cassettes during this era, including The White Tape. This first studio recording was circulated in two variations: the first, mixed in a dorm room as late as 1985, received a higher distribution than the second studio remix of the original four tracks, c. 1987. The older version was officially released under the title Phish in August 1998.  Jesse Jarnow's book Heads: A Biography of Psychedelic America details much of the band's early years at Goddard College, including their early relationship with fellow Goddard students Richard "Nancy" Wright and Jim Pollock. Pollock and Wright were musical collaborators, experimenting with multi-track cassette records to be broadcast on local radio. Phish adopted a number of Nancy's songs into their own set, including "Halley's Comet", "I Didn't Know", and "Dear Mrs. Reagan", the latter song being written by Nancy and Pollock. Jarnow argues that despite an eventual falling out between the members of Phish and Nancy, Nancy and his music were highly influential to Phish's early style and experimental sound. Pollock continued to collaborate with Phish over the years, designing some of their most iconic concert posters.  The band's actions demonstrate an identity with their "hometown" of Burlington, Vermont. By 1985, the group had encountered Burlington luthier Paul Languedoc, who would eventually design four guitars for Anastasio and two basses for Gordon. In October 1986, he began working as their sound engineer. Since then, Languedoc has built exclusively for the two, and his designs and traditional wood choices have given Phish a unique instrumental identity. Also during the late 1980s, Phish played regularly at Nectar's restaurant and bar in Burlington. In 1992 the album A Picture of Nectar, named as a tribute to the owner, featured a large orange with Nectar's photo superimposed subtly within the orange.
Question: Where did they first play publicly?. Whats the answer?
For their first gig, at Harris Millis Cafeteria at the University of Vermont on December 2, 1983,