According to the census, NYC permitted 39,000 multifamily units in 2022 through October, 11,000 more than second place Dallas
Name 5 Units or More Num of Structures With 5 Units or More
New York-Newark-Jersey City, NY-NJ-PA 38908 1225
Dallas-Fort Worth-Arlington, TX 27632 556
Houston-The Woodlands-Sugar Land, TX 23353 745
Austin-Round Rock-Georgetown, TX 20120 417
Los Angeles-Long Beach-Anaheim, CA 16831 479
Washington-Arlington-Alexandria, DC-VA-MD-WV 16798 250
Atlanta-Sandy Springs-Alpharetta, GA 16594 407
Seattle-Tacoma-Bellevue, WA 15703 313
Phoenix-Mesa-Chandler, AZ 14853 462
Minneapolis-St. Paul-Bloomington, MN-WI 13721 238
San Antonio-New Braunfels, TX 11797 356
Denver-Aurora-Lakewood, CO 11334 227
Miami-Fort Lauderdale-Pompano Beach, FL 10944 293
Tampa-St. Petersburg-Clearwater, FL 10677 643
Orlando-Kissimmee-Sanford, FL 10546 279
https://www.census.gov/construction/bps/msamonthly.html
So it seems that the high cost is inducing a supply response.
for example
https://newyorkyimby.com/2022/12/con...te-plains.html