Capital One Bank does not operate physical branches in New York City. Consequently, it does not have a specific routing number assigned to an NYC location.
Routing numbers in the U.S. are tied to the Federal Reserve district where a bank's main office or branch is located. Since Capital One's retail footprint is concentrated in its home state of Virginia (HQ in McLean) and a few other states—but not New York—there is no "NYC routing number" for the bank.
For in-person banking in NYC, consider banks with local branches (Chase, Citi, Bank of America, etc.).