Multiple conditionals If statements in Python [duplicate]

This question already has an answer here:

• Asking the user for input until they give a valid response 9 answers

Context: Assignment is to write a program that shall display a hollow diamond of stars with N rows and N columns, where N is a variable initialized with an odd positive number. You shall not use any string methods (such as .center()). An example of a diamond with N=7 is shown below:

   *
  * *
 *   *
*     *
 *   *
  * *
   *

My Question: I have completed the diamond building problem (maybe not the best way but good enough to my satisfaction), but my issue is with the if statement at the beginning. I want to repeat the input phase when n is even or less than 3, however when testing the loop only works once and then exits and I cannot figure out why.

n = int(input("Please enter an odd number that is greater than or equal 
than 3: "))

if (n < 3 or n % 2 == 0): #checks if even and less than 3
    n = int(input("Invalid Entry.\nPlease enter an odd number that is greater than or equal than 3: "))

else: #if odd and greater than or equal to 3
    e = (n - 1) // 2 #for spaces on top & bottom
    sd = ( (n - 1) // 2) - 1 #for spaces on ends, will decrease
    si = 1 #for spaces on ends, will increase
    m = n - 2
    b = 1 #middle spaces counter for top half
    a = n - 4 #middle spaces counter for bottom half

    #top one done out seperately becayse doesnt fit into loop
    print((e * " ") + "*" + (e * " "))

    while b <= m: #while middle spaces are less than or equal too input - 2
        print(
            ( (sd) * " ") + #spaces left side
            ("*") + 
            (b * " ") + #spaces middle
            ("*") + 
            ( (sd) * " ") #spaces right side
        )
        b += 2 #spaces middle increaser
        sd -= 1 #spaces sides decreaser

    while a >= 1: #while middle spaces are greater than or equal to 1
        print(
            ( (si) * " ") + #spaces left side
            ("*") + 
            (a * " ") + #spaces middle
            ("*") + 
            ( (si) * " ") #spaces right side
        )
        a -= 2 #spaces middle decreaser
        si += 1 #spaces side increaser

    print((e * " ") + "*" + (e * " "))