Write a class called ChessVar that represents a variant of chess. The game follows the standard rules of chess, with the addition of two new pieces called the Falcon and the Hunter. The Falcon moves like a bishop and a rook, while the Hunter moves like a rook and a bishop. The game starts with the normal starting position for standard chess. Each player can enter their Falcon or Hunter into play after losing a queen, rook, bishop, or knight. The game ends when a player's king is captured. The ChessVar class should have an init method to initialize the game, a get_game_state method to return the current state of the game, a make_move method to make a move on the board, and an enter_fairy_piece method to enter a fairy piece into play. Implement the ChessVar class.