I use 4/0, 300A Class T Fuse/Fuse Blocks or a 250 A DC Double Pole Breaker for my 24V 3,000 and 4,000 Watt inverters. Spend the money, stay cool, stay safe.
Or if derating to 2500 Watts, I’d use a 200A Class T with 2/0.
On the battery, I’d do one 8S configuration with a Daly 24V 250 or 300A and Bluetooth Accessory.
Also add a solar disconnect switch. Also a Midnite Solar Surge Protection Device on the solar input if not in hybrid inverter.