During the MPC-TLS phase the Prover and the Verifier run an MPC protocol enabling the Prover to connect to, and exchange data with, a TLS-enabled Server.

Listed below are some key points regarding this protocol:

The Verifier only learns the encrypted application data of the TLS session.
The Prover is not solely capable of constructing requests, nor can they forge responses from the Server.
The protocol enables the Prover to prove the authenticity of the exchanged data to the Verifier.