Proof-of-Work is unlikely to be effective for deterring spammers. Spammers easily operate at massive scales (botnets, server farms, cheap cloud). They can absorb the PoW cost more easily than legitimate users because spamming is a numbers game.
The meet-in-person (like in the old PGP era) is even less likely to work.
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That's why it's augmented with web of trust. Regular users who have established their npubs as non spam can post all they want without proof of work, so the proof of work requirement for new users can be as high as it needs to be to make spam manageable