I have a contract Lottery.sol which deploys a contract PriceFeed.

In Lottery.sol :
contract PriceFeed {
.....
}

contract Lottery {
PriceFeed public price_feed = new PriceFeed();
}
In my Foundry deployment script which imports Lottery.sol, I made run() to return a (contract PriceFeed) as a test to see where price_feed gets deployed.

In Deploy.s.sol :
......

contract Deploy is Script {
function run() external returns (PriceFeed) {
vm.startBroadcast();
Lottery lottery = new Lottery();
vm.stopBroadcast();
return lottery.price_feed;
}
}


I get the following error when trying to build the project with forge:

Return argument type function () view external returns (contract PriceFeed) is not implicitly convertible to expected type (type of first return variable) contract PriceFeed.

How can I resolve this?