If your business is incorporated then your corporation is the party to the contract and that’s all you need to include! Corporations are legal entities under law and can enter into contracts. If you operate as a solo entrepreneur then include your legal name as the party, OR if you’ve registered your business under a different name and are operating as such, you will need to include your legal name and DBA name since your business is not a legal entity and cannot enter into legal agreements. You can always set your business name as the short-form party name in your contract and use that throughout, but make sure when you sign that you use your legal name as well!