Talked to CS again end of last week after my page got updated from May to July (app said May, login firefox July)
CS took 2 days investigating and came back to me via mail letting me know:
Car will arrive in Gothenburg end of April and delivery will happen aprox 2 weeks after in Stockholm
VIN does not show up on any of the searchable vessle sites
Order-date 2022-09-01
I think our cars, and Plstr, are on the same boat. Unsearchable VIN carrier.
I have a Json estimated April 12th, website May and app May. Build month 2023-02 and 156***-VIN. The website date is kinda goofy.. If you leave it logged in, it will just keep ticking on for some reason. I got a max up to December 2035

Just a reload and back on May. Sometimes it will state July right when I log in, but a reload later back to May.
Polestar changed my pick up point to Volvo Cars Vallentuna some weeks ago, 'cos they had more and earlier slots available than Upplands-Väsby.
CS says end of April at earliest, problably early May.
Off topic:
I'd rather get it May 2nd over April 30th, since it's a benefit/company car, and pay benefit tax for the car I have moving over to a new month, in this case a Kia Niro PHEV and it's dirt cheap. So, if I have the Kia for only one single day in May, I still pay benefit tax for the Kia, and not the PS for May.
But hats off to the Polestar/Volvo Cars dealer for letting me drop my current car at their venue when I pick the PS up, for Leaseplan to pick up later, instead of having to drop the Kia off first somewhere.