I will speculate that you are drawing more power from the battery just after start than the alternator can produce at idle RPM. This discharges the battery during warm up/taxi. When you run up the engine, the alternator output increases to the max allowed by the regulator for a short time until the battery recovers some of its lost charge, then the regulator reduces the output somewhat to cover the A/C load, plus other accessories and some to continue to re-charge the battery.
The in-flight amerage represents the “steady state” load to carry your A/C and other powered accessories, plus a “trickle charge” for the battery. BTW, it sounds like you have an electrically-driven A/C compressor? I ask this because this is significantly more amperage than an engine-driven compressor based system should draw (mine uses about 12 amps with all components running; less when the condenser fans are off (normal ops).
Enough for “triggering ideas.” I’d contact the A/C manufacturer to see what the starting and steady-state electrical loads should be. Don’t be tempted to just change out the circuit breaker for a larger one…this is a seriously bad idea until you confirm that the system, and especially the wiring, can handle the higher current.
Bob