Mongodb 为什么我的Mongoose更新找不到匹配

我的购物车Collection 中有以下文档:

{
"_id": {
  "$oid": "6555453298c59137f9cb2ee5"
},
"userId": {
  "$oid": "6555453298c59137f9cb2ee3"
},
"email": "aaaaaa@aaa.com",
"items": [
  {
    "quantity": 3,
    "product": {
      "$oid": "655437995bc92c0647deb512"
    },
    "_id": {
      "$oid": "65555277fe01541a2052bd5f"
    }
  },
  {
    "quantity": 1,
    "product": {
      "$oid": "655437995bc92c0647deb513"
    },
    "_id": {
      "$oid": "65555278fe01541a2052bd65"
    }
  }
}

在Items数组中，我希望将数量增加1，其中产品(ProductID)=655437995bc92c0647deb512.我的增加函数如下:

exports.increaseProductQuantity = async (req, res) => {
console.log('user.service increaseProductQuantity')
const {productId} = req.body;
console.log('productIdd', productId)
const email = authenticateToken(req, res)

console.log('increaseProductQuantity email', email)
(increaseProductQuantity email logs aaaaaa@aaa.com)


try {
    await Cart.updateOne({
        "email": email
    }, {
        "$inc": {
            "items.$.quantity": 1
        }
    }, {
        "arrayFilters": [{
            "items.product": productId
        }]
    })

    const cart = await Cart.findOne({
        email: email,
    }).populate({
        path: 'items.product',
        model: 'Products'
    })

    console.log('cart', cart)

    // const newCart = JSON.parse(JSON.stringify(cart));
    // newCart.cartTotal = computeCartTotal(newCart);
    // console.log('newCart', newCart)

    // res.status(201).json(newCart)
} catch (error) {
    console.error(error);
    return res.status(500).send('Problem changing item quantity.')
}

}

我得到的错误是:

MongoServerError: The positional operator did not find the match needed from the query.