CAFI vs AFCI? Pigtail?
So much has happened in this area recently. AFCI stands for Arc Fault Circuit Interrupter, CAFI stands for Combination Arc Fault Interrupter. There are 2 types of arc faults:  1) Series (loose connection) and 2) Parallel (like a short, but not drawing enough current to trip a normal breaker.  You can't use a PON (plug on neutral) breaker unless you have a PON panel, which are fairly new. Most arc fault breakers these days handle both.  THere are also dual function breakers (DUFIES!) that handle both types of arc faults, ground faults and over-current protection. Since you said you didn't want ground fault protection, you don't want a dufie breaker.  Depending upon the location of the fridge, and which NEC code is in effect where you live, that may not be code legal, if that matters to you. 2020 NEC code requires practically everything to be GFCI protected.
So having said all that, unless you have a PON panel, you need the breaker with the pigtail.   I'm going to get snipped and yelled at  by all the legalistic people here for this, but if this isn't going to be inspected, for a dedicated Fridge circuit I'd just use a regular breaker. I think it's still code legal to swap a AFCI/GFCI breaker for a regular breaker if you get nuisance trips.   Let the hate me begin.