Never underestimate delay of supplies. And of Universal Hollywood needing to recoup cost lost from over a year of non-operation.
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My guess is Late December, bordering on Illumination's Mario, with the same reinforcements of heavy photography barring for TM's and Parties until the end of January. After that, technical rehearsals leading towards March 2023. Border on the 2 year anniversary of Super Nintendo World Osaka's opening; and to ensure any health concerns can be squashed. I can see Hollywood needing the longer test/adjust period for the sake of the AA's in the land ontop of making sure Mario Kart can work flawlessly with no issues domestically.