Yes, BOURGEOIS is a Scrabble word!

Letter values in Scrabble US: B 3, O 1, U 1, R 1, G 2, E 1, O 1, I 1, S 1.

Is it a valid word?

BOURGEOIS is a valid word in the official Scrabble dictionary (US), the UK Scrabble Dictionary and Words with Friends (ENABLE).

(according to Marxist thought) being of the property-owning class and exploitive of the working class
conforming to the standards and conventions of the middle class
belonging to the middle class