Implement Sender Logic for Local Chat

[Dericko681]

Description:
This issue involves implementing the sender logic in sender.rs for the local chat application. The sender will manage the process of composing and transmitting messages to other users within the chat. Key functionalities should include formatting messages according to the established message structure, handling network connections for sending data, and managing potential errors during transmission. By creating a reliable and efficient sender implementation, we aim to improve the overall messaging experience and ensure seamless communication within the local chat application.

file: src/local_chat/sender.rs