The high current and isolated drive for the current suggest that the Probe is an old style "passive" hall sensor. So no more than a plate of thin metal with likely 4 (or 5) contracts. With 5 contacts there would be an additional trimmer for the zero.
These sensor are usually not made by the usual semiconductor companies and may not be found at the usual distributors. They are more lime "scientific" sensors.
This site seem to have at least a similar sensor, though still higher resistance and thus some modification (e.g. lower current or voltage reduction) needed.
https://www.sonnecy-shop.com/de/insb-hall-effekt-elemente-cyty300b-max.-sensitivitaet-7.8-12.8-mv/mt.htmlAFAIK the modern Si (or other semiconductor) based hall sensors use some kind if FETs and much smaller current, as the resistance is higher. One may still be able to adapt a modern sensor chip, by regulating the voltage with a zener or similar and provide the 4th contact with a precision divider. The scale factor may be off (stronger signal).
p.s. with the low resistance it could be made for a metallic sensor. AFAIR this was something like bismuth.
Not sure such sensors are still available as the semiconductor ones are more sensitive and may have taken over the market.