three dice cee-lo and three card monte are both illegal betting games commonly played on the street in underpriviledged urban areas , Jay-Z is referencing in this song that even tho he is wipes his ass with $100 bills now, he is from "the streets".
The exact lyrics is "Ya im out that Brooklyn, now I'm down in Tribeca" which mean that he is no longer living in brooklyn, which is a kind of poor city, and that he is now living in Tribeca which is a rich city
The word is "Monte" not "marley". Three Dice cee lo refers to a dice game played with 3 six-sided dice (rules vary amongst players of the game). Three card monte is gambling game where bets are made and only 3 cards are used.
"Dominicanos" is plural for Dominicans, people from the Dominican Republic. Broadway is a major street that bisects Manhattan and runs straight through Washington Heights, a Dominican neighborhood. Probably had some deal at a McDonald's in the area.