The Dorchester Avenue cafe that inspired the effort to get more liquor licenses for Boston won approval to offer alcoholic drinks with its meals on Thursday.

Dot 2 Dot Cafe co-owner Karen Henry-Garrett has said the liquor license would mean she could start serving dinner regularly at the 1739 Dorchester Ave. restaurant.

The Boston Licensing Board last month deferred action on the license request because of paperwork issues involving how, if at all, members of the restaurant LLC's board would share in any profits. Attorney Dennis Quilty, who specializes in licensing issues, represented Henry-Garrett and her husband Richard Garrett at a licensing-board hearing on Wednesday and tied up the paperwork loose ends to the board's satisfaction.

At-large City Councilor Ayanna Pressley, who lives in Dorchester, said the cafe was her inspiration to push for more liquor licenses in Boston that would be doled out only in certain neighborhoods where restaurant entrepreneurs could not afford to six-figure prices Boston licensings have commanded in recent years - Dorchester, Roxbury, Mattapan and districts with city "Main Streets" designations.

The board has 25 of these new licenses - which cannot be transferred out of the areas in which they are granted - this year, with 50 more to come over the following two years.

At a hearing last month, former state Rep. Mel King rose to support the cafe, praising it for its homey, caring atmosphere - and good food. Henry-Garrett trained at Cordon Bleu in London.