OP, you posted 3 months ago that you would discuss, implying resolve*, the management company's misunderstanding of your instruction to them to include your loaned vehicle on NCP's exempt list. You were simply awaiting her return from holiday in less than 3 days.
Since when there's been radio silence on this point.
OP, you won't get a solution here because the issue has gone beyond private parking. Were your management company negligent, were you negligent, could you sue whoever has deducted money from your account, does the Consumer Rights Act bear upon the issue and, even if it does, so what unless you are prepared to sue, do you still have a relationship with Tesla, how important is this to you etc. etc?
*-It's highly probable that my management company will handle the invoice from Tesla. If Tesla hadn't already paid for these tickets, they could have potentially been cancelled, as NCP has previously rectified similar mistakes with other residents in my building, resulting in cancelled tickets.