Can you correct my run method and write the new one

package ca$.$yorku.eecs$3214.$mail.net;

import ca$.$yorku.eecs$3214.$mail.mailbox.MailMessage;

import ca$.$yorku.eecs$3214.$mail.mailbox.Mailbox;

import java.io$.*$;

import java.net.ServerSocket;

import java.net.Socket;

import java.util.List;

public class MyPOPServer extends Thread $\{$

private final Socket socket;

private final BufferedReader socketIn;

private final PrintWriter socketOut;

$//$ TODO Additional properties, if needed

private boolean isAuthenticated $=$ false;

private String authenticatedUsername $=$ null;

$/**$

$*$ Initializes an object responsible for a connection to an individual client.

$*$

$*$ @param socket The socket associated to the accepted connection.

$*$ @throws IOException If there is an error attempting to retrieve the socket's

$*$ information.

$*/$

public MyPOPServer$($Socket socket$)$ throws IOException $\{$

this.socket $=$ socket;

this.socketIn $=$ new BufferedReader$($new InputStreamReader$($socket$.$getInputStream$()))$;

this.socketOut $=$ new PrintWriter$($new OutputStreamWriter$($socket$.$getOutputStream$()),$ true$)$;

$\}$

$/**$

$*$ Handles the communication with an individual client. Must send the

$*$ initial welcome message, and then repeatedly read requests, process the

$*$ individual operation, and return a response, according to the POP$3$

$*$ protocol. Empty request lines should be ignored. Only returns if the

$*$ connection is terminated or if the QUIT command is issued. Must close the

$*$ socket connection before returning.

$*/$

@Override

public void run$()\{$

try $\{$

$//$ Send initial welcome message

socketOut.println$("+$OK POP$3$ server ready"$)$;

$//$ Variables to keep track of session state

boolean isAuthenticated $=$ false;

String authenticatedUsername $=$ null;

boolean isQuitRequested $=$ false;

$//$ Loop to handle client requests

while $(!$isQuitRequested$)\{$

$//$ Read client command

String clientCommand $=$ socketIn.readLine$()$;

if $($clientCommand $==$ null$)\{$

$//$ Client has closed the connection unexpectedly

break;

$\}$

$//$ Split client command into command and arguments

String$[]$ commandParts $=$ clientCommand.split$("\backslash \backslash$s$+",2)$;

String command $=$ commandParts$[0].$toUpperCase$()$;

String arguments $=$ commandParts.length $>1?$ commandParts$[1]$ : $""$;

switch $($command$)\{$

case "USER":

if $($arguments$.$isEmpty$())\{$

socketOut.println$("-$ERR User name not provided."$)$;

$\}$ else $\{$

isAuthenticated $=$ Mailbox.isValidUser$($arguments$)$;

if $($isAuthenticated$)\{$

authenticatedUsername $=$ arguments;

socketOut.println$("+$OK User accepted, provide password."$)$;

$\}$ else $\{$

socketOut.println$("+$OK$")$;

$\}$

$\}$

break;

case "PASS":

if $($isAuthenticated$)\{$

try $\{$

Mailbox mailbox $=$ new Mailbox$($authenticatedUsername$)$;

mailbox.loadMessages$($arguments$)$;

socketOut.println$("+$OK User successfully logged in$.")$;

$\}$ catch $($Mailbox$.$InvalidUserException $|$ Mailbox.MailboxNotAuthenticatedException e$)\{$

socketOut.println$("-$ERR Invalid username or password."$)$;

$\}$

$\}$ else $\{$

socketOut.println$("-$ERR User not authenticated."$)$;

$\}$

break;

case "STAT":

if $($isAuthenticated$)\{$

try $\{$

Mailbox mailbox $=$ new Mailbox$($authenticatedUsername$)$;

mailbox.loadMessages$($authenticatedUsername$)$;

int messageCount $=$ mailbox.size$($false$)$;

long totalSize $=$ mailbox.getTotalUndeletedFileSize$($false$)$;

socketOut.println$("+$OK $"+$ messageCount $+""+($messageCount $>1?$ "messages" : "message"$)+"("+$ totalSize $+"$ octets$)")$;

$\}$ catch $($Mailbox$.$MailboxNotAuthenticatedException e$)\{$

socketOut.println$("-$ERR User not authenticated."$)$;