Deterministic deployment with existing factory

We have a hardhat project with our own deterministic factory, that is already deployed. Is there any way we could use hardhat-deploy with our own deterministic factory? I couldn't find any examples of where with hardhat-deploy to generate the custom call to deploy the contract via the our custom factory. Any pointers to docs or examples would be greatly appreciated!

This is how our factory looks like:

// SPDX-License-Identifier: AGPL-3.0

pragma solidity ^0.8.17;

import '@openzeppelin/contracts/access/Ownable.sol';
import '@openzeppelin/contracts/utils/Create2.sol';
import '@openzeppelin/contracts/utils/Address.sol';

contract DeterministicDeployFactory is Ownable {
        using Address for address;

        event Deploy(address addr);

        function deploy(bytes memory bytecode, bytes32 salt, bytes memory initCall) external onlyOwner {
                address addr = Create2.deploy(0, salt, bytecode);
                addr.functionCall(initCall);
                emit Deploy(addr);
        }
}

wighawag / hardhat-deploy

Deterministic deployment with existing factory #415