Indian Gaming governed by IGRA, as briefly explained in the excerpt below. The level of gaming allowed depends on the Level (I, II or III) and the other types of gaming allowed in the state. If there's a compact, the types of games allowed are spelled out. Without a compact, it's sort of a cat & mouse game.
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IGRA (Indian Gaming Regulatory Act) ESTABLISHES FRAMEWORK FOR REGULATION

IGRA created three classes of gaming:

Class I - social games solely for prizes of minimal value or traditional forms of Indian gaming as a part of tribal ceremonies or celebrations;

Class II - bingo and related games, including pulltabs, lotto, punch boards, tip jars, instant bingo and some card games, excluding house banking card games such as blackjack and baccarat; and

Class III - all forms of gaming that are not Class I or Class II, including slot machines and blackjack.

The National Indian Gaming Commission has extensive regulatory requirements for tribal gaming operations and must give final approval to all Indian casino management contracts.

Class I gaming is regulated solely by tribes. Class II gaming is regulated solely by tribes if they meet conditions set forth in IGRA. Regulation of Class III gaming is governed by tribal-state compact.