The bond guarantees there are funds to satisfy the judgement. It prevents the money from being squirreled away somewhere out of reach while the appeal is heard.
Trump's assets can't be squirreled away. It is mostly real estate, and his properties in NYC are worth several times more than the judgement. So there is no risk to the State to grant a discretionary stay.
There are two ways to stay the enforcement. Post the full bond, or ask the court to use their discretionary authority to reduce or waive the bond requirement.
They will make a ruling before the deadline, which is next Monday. Trump has asked to schedule oral arguments, or leave to appeal to the Court of Appeals, if they don't want to grant his request for a discretionary stay.
There is another course that is possible, and that is for the appellate court to vacate the judgement and remand the case to the Commercial Division where it should have been all along. But that kind of decision is usually made after the appeal is heard.