Need advice on my uni project (a PGP based chat)

This is my first Reddit thread. Don't judge it too harshly.
I'm asking for your advice or critique on my term paper for university.

I chose the topic: "Chat with encryption on PGP keys".
How it would work:
1. The user enters their public key (they must have a pre-generated pair of PGP keys) and it is sent to the server
2. A 12-word phrase is generated on the server, active for 10 minutes, encrypted with the user's public key …

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