I've currently got a 125 A blade fuse (Quick windlass) and have also been thinking of switching to circuit breaker so had a few links ready for this.
Lofrans Tigress (12 V) recommended circuit breaker is 100 A magnetic:
https://www.lofrans.com/product/71-horizontal-windlasses/5017-tigreshttps://www.lofrans.com/product/77-circuit-breakers/5033-circuit-breakerHowever, the website does not give out much details of the magnetic circuit breaker. With all probability the tripping curve (trip current as a function of time) is such that it is quite slow to trip in overload situation allowing higher currents to pass for some seconds to a few tens of seconds. I am attaching here Quick magnetic-hydraulic circuit breaker curve for reference.
I believe windlass motors are normally just simple DC-motors without any fancy electronics. If there's some additional voltage drop (meaning additional resistance) in the circuit, it should decrease the total current in the circuit and thus be not the cause for tripping the circuit breaker. Reasoning: current I = U / R_tot; in which U equals battery terminal voltage and R_tot is a sum of cabling, contact resistances and the windlass motor circuit resistance.
What should also be noted is that if you have a thermal breaker, it will trip at lower current (probably around 10% lower) at higher ambient temperatures compared to normal room temperatures.
Edit: added also the curves for Eaton 187-series MRCB thermal circuit breaker which I have been considering => as you can see, it would need to be rated for around 130% higher nominal current compared to Quick magnetic-hydraulic circuit breaker to provide roughly same characteristics, so perhaps for your case +30% would also be a good assumption if you end up using thermal breaker.