When Armed with Proof enters, it triggers, creating three Clue tokens due to Case of the Pilfered Proof.
When the Clues enter as Equipment due to Armed with Proof, their living weapon abilities given by them to Ekthi each trigger.
Resolve the first living weapon trigger, creating a 0/0 Phyrexian Germ creature token and a Clue token due to Case of the Pilfered Proof.
When the Clue enters as an Equipment, its living weapon ability triggers, creating a 0/0 Phyrexian Germ creature token and a Clue token due to Case of the Pilfered Proof.