Smoothing the starting current of 12V DC compressor fridge

Hi everybody,

I recently purchased an EcoFlow River Pro battery "power station" for use in my RV.

The biggest limitation for my use case, which I was aware when buying it, is the limited "12V" output : 136W, 13.6Vdc, 10A Max. This is because it's not a real 12V battery, but a 28V lithium battery with a DC-DC converter circuit. But for me, 10A is plenty : it's only used for lighting... and my fridge.

The fridge is a Dometic CRX 80, a 12V-only compressor fridge that has a rated current of 5.6A, so everything should be fine, but I noticed that Dometic requires a 15A fuse.

Most of the time it works fine, but every ~2 days, seemingly at random, the EcoFlow River shuts down its 12V output... Of course it's always when I'm on a hike and I return to my RV without lights and the fridge slowly getting hotter. I suspect it's because of the compressor requiring a bit more than 10A when starting, even if I can't prove it.

So I am wondering if I could add some components near the fridge to "smooth" its current consumption when the compressor is starting. I was thinking a cap, supercap or even a small 12V battery.

But I don't know how to wire it to avoid the current spike when first charging the cap, or to avoid wasting too much power through a resistor or something. Maybe I need a full RCL filter? I don't know.

So, what circuit would you suggest to allow short peaks of 15A output, while avoiding pulling more than 10A input? Thanks!