Tony,
This may be getting a bit geeky so bear with me. Remember earlier on I advised your local electrical code typically limits fridges to their own circuit. I'm not familiar with your local code regarding mini-fridges but I wouldn't suggest you add more load to that circuit as you are at a good base line now, if your local code allows a mini-fridge to be connected with other devices.
Breakers are rated to trip (to clear the fault) for both Long-Time and Instantaneous current levels. In that manner they can handle in-rush of inductive loads (typically motors) for short durations (instantaneous current can be 6-7 times full load current but it only typically lasts for a few seconds) without tripping. A circuit with an overload (just beyond the breaker rating) that is more constant, will trip some time after 300 seconds (for a BR type 120 VAC / 15 Amp single pole breaker at 25°C ). The more it's overloaded the shorter the time before it trips. And yes, temperature affects the time to trip. You can usually look up the trip curves for your breakers on line.
As per Schneider Electric/Square D/Merlin Gerin Circuit Breakers:
"Inverse time tripping is a characteristic of circuit breakers in which the breaker trips in more time with lower overcurrent, and less time with higher overcurrent. For the US, Article 100 of the National Electric Code defines it as follows: "Inverse Time (as applied to circuit breakers). A qualifying term indicating that there is purposely introduced a delay in the tripping action of the circuit breaker, which delay decreases as the magnitude of the current increases."
IMHO, I try to be very conservative with circuit design. In my past life I did Breaker calibration and testing on large and small industrial breakers => 3 Phase Air and Vacuum types, Contactors, & their related Relays for a few years. To me it's never worth the risk to overload a circuit and rely on a 25 year old breaker to trip.
(By the way, I exercise the breakers in my house yearly. That means I turn them off and on 3 or 4 of times each after turning off the main breaker. I've heard too many stories of breakers failing to act as they've never moved in 20 years and were "frozen".)
I hope this is helpful.