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Just an update here, with clearer photos, for future reference.
I polished the (very small) Hungarian dog head hallmark with the tip of a wooden toothpick to enhance the shine.
On the left, a "3", then a dog head, then a "P" on the right.
The "3" is for "3rd grade" silver (.800). I'm guessing the "P" is for the Pest district of Budapest.
"Budapest, Hungary’s capital, is bisected by the River Danube. Its 19th-century Chain Bridge connects the hilly Buda district with flat Pest."
Thanks again to Krisztián for the initial information.
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