Make sure your wallet has Base testnet ETH in order to complete the Quest. You can get testnet ETH from the Base faucet.
Connect your self-custodial wallet and sign the Quest message.
Deploy your smart contract on the Base testnet. Use your testnet ETH for the network fee.
After verification, you will be prompted to a success page to mint your NFT! You can mint a second NFT after Base transitions to mainnet.