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“Free” key exchange in a Ed25519 PKI? [duplicate]

Assuming a PKI where everyone has a public/private Ed25519 keypair, can a secure shared secret be computed by calculating abB when Alice has keypair ...
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Is it possible to pick your Ed25519 public key?

Is it possible to generate an Ed25519 keypair that has a very similar public key as another keypair (fooling a casual visual comparison) or is this as hard as solving one of SHA-512 or the discrete ...