Yes, the DJI RS 3 Mini is compatible with the Sony ZV-1 Mark II.
Sony ZV-1 Mark II has a fixed (non-interchangeable) lens, so its full operating weight -- 292g including battery and card, per Sony's own spec page -- is exact, not an assumption. DJI RS 3 Mini's stated payload capacity is up to 2kg (4.4lbs) per DJI's own product page. 292g is well within that range (~15% of max capacity), so the camera balances and operates normally on this gimbal with no adapter or special setup required.
“Weight (with battery and memory card included) Approx. 292 g (10.3 oz)”
“RS 3 Mini possesses a load capacity of up to 2 kg (4.4 lbs), enabling a wide range of camera and lens combinations.”
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Confidence: high confidence