Create a C$++$ program that contains the following namespaces:

a$.$ MathNamespace: This namespace will contain mathematical functions.

b$.$ StringNamespace: This namespace will contain string$-$related functions.

c$.$ PrintNamespace: This namespace will contain functions related to printing.

In the MathNamespace, define the following functions:

a$.$ int add$($int$,$ int$)$: This function takes two integers as input and returns their sum.

b$.$ int subtract$($int$,$ int$)$: This function takes two integers as input and returns their difference.

c$.$ int multiply$($int$,$ int$)$: This function takes two integers as input and returns their product.

In the StringNamespace, define the following functions:

a$.$ bool isPalindrome$($string$)$: This function takes a string as input and returns true if it is a palindrome $($reads the same forwards and backward$),$ otherwise returns false.

b$.$ string reverseString$($string$)$: This function takes a string as input and returns a new string with its characters reversed.

In the PrintNamespace, define the following functions:

a$.$ void printWelcomeMessage$()$: This function prints a welcome message to the console.

b$.$ void printErrorMessage$($string$)$: This function takes a string as input and prints it as an error message.

Implement a simple menu$-$based system to interact with the namespaces:

a$.$ Display a welcome message using the PrintNamespace.

b$.$ Prompt the user to choose between math operations and string operations.

c$.$ For math operations, prompt the user to enter two integers and choose between addition, subtraction, and multiplication using the MathNamespace. Display the result.

d$.$ For string operations, prompt the user to enter a string and choose between checking for palindrome and reversing the string using the StringNamespace. Display the result.

The program should handle invalid inputs gracefully and provide appropriate error messages.