Answer:
(1)
public int getPlayer2Move(int round)
{
   int result = 0;
  
   //If round is divided by 3
   if(round%3 == 0) {
       result= 3;
   }
   //if round is not divided by 3 and is divided by 2
   else if(round%3 != 0 && round%2 == 0) {
       result = 2;
   }
   //if round is not divided by 3 or 2
   else {
       result = 1;
   }
  
   return result;
}
(2)
public void playGame()
{
  
   //Initializing player 1 coins
   int player1Coins = startingCoins;
  
   //Initializing player 2 coins
   int player2Coins = startingCoins;
  
  
   for ( int round = 1 ; round <= maxRounds ; round++) {
      
       //if the player 1 or player 2 coins are less than 3
       if(player1Coins < 3 || player2Coins < 3) {
           break;
       }
      
       //The number of coins player 1 spends
       int player1Spends = getPlayer1Move();
      
       //The number of coins player 2 spends
       int player2Spends = getPlayer2Move(round);
      
       //Remaining coins of player 1
       player1Coins -= player1Spends;
      
       //Remaining coins of player 2
       player2Coins -= player2Spends;
      
       //If player 2 spends the same number of coins as player 2 spends
       if ( player1Spends == player2Spends) {
           player2Coins += 1;
           continue;
       }
      
       //positive difference between the number of coins spent by the two players
       int difference = Math.abs(player1Spends - player2Spends) ;
      
       //if difference is 1
       if( difference == 1) {
           player2Coins += 1;
           continue;
       }
      
       //If difference is 2
       if(difference == 2) {
           player1Coins += 2;
           continue;
       }
      
      
   }
  
   // At the end of the game
   //If player 1 coins is equal to player two coins
   if(player1Coins == player2Coins) {
       System.out.println("tie game");
   }
   //If player 1 coins are greater than player 2 coins
   else if(player1Coins > player2Coins) {
       System.out.println("player 1 wins");
   }
   //If player 2 coins is grater than player 2 coins
   else if(player1Coins < player2Coins) {
       System.out.println("player 2 wins");
   }
}