Is running 1600BTU MarinAire on battery/solar possible?

[KingGuppy]

Does anyone run a similar AC unit off of solar/battery, using a soft/easy start device?

MarinAire 16k BTU:
Max. input consumption: 1480 W
Running Current: 10.8 A
Strating Current: 17.6 A

We have around 1000w of Solar, and 1200ah of batteries.

Our invertor is a Magnum 3000:
Output Power 3,000W
Peak Watts 3,500W
Output Voltage 120 VAC
Output Current 25.0 amps

Our goal is to be able to run the AC a few hours during the day when the sun is out, and then an hour or two at night.

We plan to add another 300w solar, and change batteries to lithium, but we weren't sure if we need to upgrade the inverter as well. Or if this would be possible with that setup.

Thanks for the help.