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I did a little hunting for you on ancestry and found an Aron Gorsman who was detained, arriving on 1/24/05 on the St. Louis to NY. I'm not sure if it is him and you might want to go back and see if you can find him in the earlier pages of the manifest. I ran out of time.
I also checked the 3/20/05 arrival of the St. Louis into NY.
I recommend using the card catalogue on ancestry to pull up the ship records and paging through to see if you can find him. The naturalization record you posted gives a date but the St. Louis did not come to NY on that date. So I looked at the Morton Allan directory to find out what dates the St. Louis did arrive into NY.
In 1905 those are listed as:
When you enter the dates, sometimes you have to adjust them a day or two later.
It's a tedious process but sometimes that's what you need to do.
Feige Kauvar Stern