What battery do you have & what CCA is it listing? Use a Voltage ohm meter and with Jeep running tells us what the volts reading is.
You need good amps & voltage output to keep the battery charged up & have it run for 30+ minutes per day.
After sitting overnight a good reading should be over 12.4 volts unless there is a drain somewhere or a weak battery. This is where a load test is also a good idea.
My ALT shows around 14.5v fired up first thing in the AM no real draw- No lights, or blower motor on etc.
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When below freezing you have less cranking power- This chart explains much.
Having an 800CCA + AGM battery is a real advantage come winter time.
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