JSFiddle - React, Tailwind, and code Playground

JavaScript

var obj = {
    "chat": {
        "chat": [{
            "chat_type": 0,
                "chat_id": 445473683,
                "chat_name": "system",
                "chat_talk": "Chat+messages+here"
        }, {
            "chat_type": 2,
                "chat_id": 445473683,
                "chat_name": "system",
                "chat_talk": "Chat+messages+here"
        }, {
            "chat_type": 2,
                "chat_id": 445473683,
                "chat_name": "system1",
                "chat_talk": "Chat+messages+here"
        }]
    }
};

var res = obj.chat.chat.filter(function (item) {
    return item.chat_type == 2 && item.chat_name != 'system'
});

console.log(res);