Filter Object based on Keys and compare with array

I currently have an object containing key with multiple values.

I also have an array containing a simple key check i.e. ["random", "three"].

I want to return mainData but only with the object and the data from whats in the array i.e. ["random", "three"]

Current Code:

const mainData = {
    random: {
        name: "Random Entity",
        date: "05/04/2022",
        startTime: "19:00",
        finishTime: "00:00",
    },
    one: {
        name: "One Entity",
        date: "16/04/2022",
        startTime: "16:00",
        finishTime: "20:00",
    },
    three: {
        name: "Three Entity",
        date: "19/04/2022",
        startTime: "10:00",
        finishTime: "11:00",
    },
};

export default mainData;

Desired Output

const mainData = {
    random: {
        name: "Random Entity",
        date: "05/04/2022",
        startTime: "19:00",
        finishTime: "00:00",
    },
    three: {
        name: "Three Entity",
        date: "19/04/2022",
        startTime: "10:00",
        finishTime: "11:00",
    },
};

Attempt:

let filterKey = 'random';
const result = Object.entries(mainData).filter(([k, v]) => k== filterKey);

This works only as a single search, not an array search.