I would go with the strategy pattern.

class Player {
    async getNextMove() {
        throw new Error('not implemented');
    };
}

class AiPlayer extends Player {
    async getNextMove() {
        /* Your AI LOGIC*/
        return 0;
    };
}

class HumanPlayer extends Player {
    async getNextMove() {
        await /*deal with user input*/
    };
}

// gameLogic:
let playerOne = new AiPlayer();
let playerTwo = new HumanPlayer();
let gameIsRuning = true;
while (gameIsRuning) {
    await playerOne.getNextMove();
    await playerTwo.getNextMove();
    if (/*function to check game is over*/) {
        gameIsRuning = false;
    }
}

In that case waiting for player inputs is blocks the loop, ai is not.

I would go with the strategy pattern.

class Player {
    async getNextMove() {
        throw new Error('not implemented');
    };
}

class AiPlayer extends Player {
    async getNextMove() {
        /* Your AI LOGIC*/
        return 0;
    };
}

class HumanPlayer extends Player {
    async getNextMove() {
        await /*deal with user input*/
    };
}

// gameLogic:
let playerOne = new AiPlayer();
let playerTwo = new HumanPlayer();
let players = [playerOne, playerTwo];
let currentPlayer = 0;
let gameIsRuning =  true;
while (gameIsRuning) {
    let playerMove = await players[currentPlayer].getNextMove();
    // validate the input
    // recalculate the game state 
    // display board if not headless
    
    if (/*function to check game is over*/) {
        gameIsRuning = false;
    }
    currentPlayer = (currentPlayer++) % 2;
}

In that case waiting for player inputs is blocks the loop, ai is not.