Had this exact issue last summer with my Multiplus 12/3000. The spin cycle creates a massive inrush current spike that the inverter sees as an overload, even if your steady-state draw is well within spec.
Few things worth checking:
Battery side first — what's your bank size and cable gauge? If the cables are undersized or connections are even slightly corroded, internal resistance climbs and voltage sags hard under that spike. The Multiplus will trip on low voltage before it ever trips on true overload. My setup runs 2/0 AWG (roughly 70mm²) all the way to a 300Ah LiFePO4 Fogstar bank and it still occasionally grumbles.
Check your VEConfigure settings — specifically the AC output current limit and the dynamic current limiter. There's an option to enable the dynamic current limiter which helps smooth out motor startup loads. Made a noticeable difference for me.
Overload trip delay — you can tweak this in VEConfigure too. Extending it slightly gives the inverter a bit more tolerance for brief spikes without nuking everything.
Worth also looking at whether your washing machine has an ECO or low-spin mode. Dropping from 1400rpm to 1000rpm cuts the peak draw considerably. Not ideal, clothes come out wetter, but it's a reasonable compromise off-grid.
What size Multiplus are you running and what's your battery setup? That'll help narrow it down — if you're on a 12v system especially, the current numbers get brutal very quickly on high-draw appliances.