I have skimmed things. The objection from James is that Knight Specialty Insurance is a "non-admiited carrier" without a certificate of qualification under Insurance Law S. 1111. The objection is here, if the linky stays live. https://iapps.courts.state.ny.us/nyscef/ViewDocument?docIndex=s4dpZ_PLUS_u0rxLM_PLUS_xsccBGwbw==
The bond, known as an "undertaking" in NY law, is a quite informal document compared to what you might see in another jurisdiction, where the bond is likely an instrument of commercial paper paid to the order of the Plaintiff upon certain conditions, to wit, affirmance of the judgment, affirmance of part of the judgment, or dismissal of the appeal. The undertaking may be viewed here. https://eddsa.blob.core.usgovcloudapi.net/public/452564_2022_PEOPLE_OF_THE_STATE_OF_v_PEOPLE_OF_THE_STATE_OF_BOND_UNDERTAKING_1707.pdf
According to the law, CPLR 5519, the undertaking is:
an undertaking in that sum [the amount of the judgment] is given that if the judgment or order appealed from, or any part of it, is affirmed, or the appeal is dismissed, the appellant or moving party shall pay the amount directed to be paid by the judgment or order, or the part of it as to which the judgment or order is affirmed;
So not just a hell of a lot of precision there. But the AG's objection is set forth above and appears to be directed to the capacity of Knight to do insurance business in the State of NY.