Tickets sold, then told the event is sold out?

TICKET_PRICE = 10

tickets_remaining = 100

while tickets_remaining >= 1:
    print("There are {} tickets remaining.".format(tickets_remaining))
    user_name = input("What is your name?  ")
    number_of_tickets = input("how many tickets would you like, {}?  ".format(user_name))
    #Expect ValueError and handle appropriately
    try:
        number_of_tickets = int(number_of_tickets)
        #raise ValueError if the reqoest is for more tickets than are available
        if number_of_tickets > tickets_remaining:
            raise ValueError("There are only {} tickets left. Please try again.".format(tickets_remaining))
    except ValueError as err:
        # include error text in output
        print("Oh no! We ran into an issue. {}. Please try again".format(err))
    else:
        total_cost = TICKET_PRICE * number_of_tickets
        print("{}, the total for {} tickets is ${} dollars.".format(user_name, number_of_tickets, total_cost))
        buy_them = input("{}, Do you want to complete your purchase? Enter Y/N  ".format(user_name))
        if buy_them.lower() == "y":
            # TODO gather payment info and process it
            print("{} tickets SOLD to {} for {}!" .format(number_of_tickets, user_name, total_cost))
            tickets_remaining -= number_of_tickets
        else:
            print("Thank you, {}".format(user_name))
    print("I'm sorry, {}. The event has sold out. :( There are no more tickets available.".format(user_name))