New Labour is running across most of the country due to have large financial resources, New Deal is only running in about a third to a half of the seats since it's a new movement.
I was bracing for a possible nightmare in having to determine the share of the seats, but I'm not sure I can even find a plausible explanation of Labour winning almost 50% of the vote out of nowhere.
We are looking at Canada 1993 in terms of seats possibly, with the Liberals being Labour and the New Deal party being Reform except they do worse in seat count vis a vis the Tories.