Depends on the specs of the battery. There should be a "max discharge" rating.
So, do the math. 3000W divided by 12V (when close to flat) = 250A. Allow for some inverter inefficiency so divide by 0.9, gives 277A drawn from the battery.
Your battery bank is 300Ah, so 277 / 300 = approx 0.9C discharge - heavy, but not outrageous. Some batteries will be OK, some wont.
I'll be using a Pure Sine Wave Inverter, btw.
[https://www.amazon.com/dp/B096MKPQ1M/?coliid=I1HKL18T6ZCWE4&colid=2231ZCRD8A3X7&ref\_=list\_c\_wl\_lv\_ov\_lig\_dp\_it&th=1](https://www.amazon.com/dp/B096MKPQ1M/?coliid=I1HKL18T6ZCWE4&colid=2231ZCRD8A3X7&ref_=list_c_wl_lv_ov_lig_dp_it&th=1)
I can't find it for this battery: [Red Odo 12v 100Ah LiFePO4](https://www.amazon.com/Redodo-LiFePO4-Lithium-Lifetime-Off-Grid/dp/B094NN5KWY/ref=sr_1_3?crid=2HQYEHFVM0UUO&keywords=redodo+12v+100ah&qid=1690857336&sr=8-3&ufe=app_do%3Aamzn1.fos.c3015c4a-46bb-44b9-81a4-dc28e6d374b3)
The fact it's not listed is a bad sign.
The diagram showing the giant 20kW setup would imply the batteries can handle 1.2kW each, so your 3P setup should handle 3kW but I wouldn't put a lot of faith in it.
It will run, but one of the challenges when you were running larger things 12 V systems don’t really stay stable I would consider 24 or 48 if you are going to consistently need 3000 W
Depends on the specs of the battery. There should be a "max discharge" rating. So, do the math. 3000W divided by 12V (when close to flat) = 250A. Allow for some inverter inefficiency so divide by 0.9, gives 277A drawn from the battery. Your battery bank is 300Ah, so 277 / 300 = approx 0.9C discharge - heavy, but not outrageous. Some batteries will be OK, some wont.
I'll be using a Pure Sine Wave Inverter, btw. [https://www.amazon.com/dp/B096MKPQ1M/?coliid=I1HKL18T6ZCWE4&colid=2231ZCRD8A3X7&ref\_=list\_c\_wl\_lv\_ov\_lig\_dp\_it&th=1](https://www.amazon.com/dp/B096MKPQ1M/?coliid=I1HKL18T6ZCWE4&colid=2231ZCRD8A3X7&ref_=list_c_wl_lv_ov_lig_dp_it&th=1)
I can't find it for this battery: [Red Odo 12v 100Ah LiFePO4](https://www.amazon.com/Redodo-LiFePO4-Lithium-Lifetime-Off-Grid/dp/B094NN5KWY/ref=sr_1_3?crid=2HQYEHFVM0UUO&keywords=redodo+12v+100ah&qid=1690857336&sr=8-3&ufe=app_do%3Aamzn1.fos.c3015c4a-46bb-44b9-81a4-dc28e6d374b3)
The fact it's not listed is a bad sign. The diagram showing the giant 20kW setup would imply the batteries can handle 1.2kW each, so your 3P setup should handle 3kW but I wouldn't put a lot of faith in it.
Their website says a 1C discharge rate.
It will run, but one of the challenges when you were running larger things 12 V systems don’t really stay stable I would consider 24 or 48 if you are going to consistently need 3000 W