Don't know how much more you need to know or read. A FD Chief has the right to run red lights and siren, and his POV is allowed to be considered a Fire Vehicle, it is all there.
§ 115-a. Fire vehicle. Every vehicle operated for fire service
purposes owned and identified as being owned by the state, a public
authority, a county, town, city, village or fire district, or a fire
corporation subject to the provisions of subdivision (e) of section
fourteen hundred two of the not-for-profit corporation law or a fire
company as defined in section one hundred of the general municipal law.
Any of the following vehicles shall be fire vehicles only for the
purpose of section one hundred one of this chapter: 1. a vehicle
operated by officials of the office of fire prevention and control,
2. a vehicle ordinarily operated by a chief or assistant chief of a
fire department, or a county or deputy county fire coordinator, or
county or assistant county fire marshall, or town or assistant town fire
coordinator, or such vehicle when operated in an official capacity by or
under the direction of such person, and
3. a vehicle specially designed and equipped for firefighting purposes
which is regularly used for firefighting purposes by a firefighting unit
on property used for industrial, institutional or commercial purposes
and which vehicle is owned by the owner or lessee of such property.