This is a sticky situation. LOT is the one who is going to have to allow a seat to be assigned. Even though there is a codeshare, sometimes the computer systems won't allow another airline to preassign a seat.
If your flight on LOT is out of Chicago, then they are required to abide by the air carrier access act, otherwise known as part 382. In your case, they don't have to assign a particular seat, but they MUST provide wheelchair assistance if needed. However in this case you need to make the wheelchair arrangements with the airline you are flying to Chicago on, so they can have it ready to take you to your next gate.
Part 382 does not apply outside the US, so if they are not willing to help you on that end, not much you can do.
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