perhaps you have a different e-mail address to start a discussion again with the third party again, just to see/confirm they are still in business and still handling such affairs. Then I would call and talk with someone about what is going on, and your request to handle this matter sooner rather than later.
Is there somewhere you can buy just the paddle? I wouldn’t buy another machine brand new. What about looking in a thrift store for the machine where it might be worth it to buy for the paddle.