Payjoin-in-Potentiam: Externally fund an LSP channel open with one transaction

The discussion revolves around enhancing the process of transferring funds from the blockchain layer to the Lightning Network layer, specifically focusing on maintaining a minimized level of trust throughout the transaction. A notable proposition to improve this mechanism involves the introduction of a trustless intermediary. This entity would play a critical role in facilitating the output substitution process and acting as a mediator in any disputes that might arise between the sender and the Lightning Service Provider (LSP). By integrating such an intermediary, the system aims to diminish the dependency on a singular trusted party, thereby bolstering the overall reliability and trustworthiness of the transaction process. This approach is geared towards ensuring that the integrity of fund transfers between these layers is preserved, while also striving to streamline and secure the interactions between involved parties.