ECDSA returning incorrect signer address

I'm trying to play around with ECDSA, but for some reason it's not returning the correct address to me. Here is how I'm trying to return the signing address.

const signer = new ethers.Wallet(PRIVATE_KEY)

    const hashedHello = await contract.rndHash('hello')
    const ethSignedHash = await contract.ethSignedHash(hashedHello);
    const signedMessageHash = await signer.signMessage(hashedHello);
    const recoveredSig = await contract.recover(ethSignedHash, signedMessageHash);

    console.log('should be my public key => ', recoveredSig)

Here is my contract code:

contract Greeter {
    using ECDSA for bytes32;

    string private greeting;
    
    function rndHash(string memory data) public pure returns(bytes32) {
        return keccak256(abi.encodePacked(data));
    }
    
    function ethSignedHash(bytes32 messageHash) public pure returns(bytes32) {
        return messageHash.toEthSignedMessageHash();
    }

    function recover(bytes32 hash, bytes memory signature) public pure returns(address) {
        return hash.recover(signature);
    }
}