What is the employer's state ID number for the New York City Department of Education?

That will be on your W-2.  Are you making the mistake of trying to use a paystub to prepare your tax return?  Do not use a paystub.  It will not match your W-2.

Do not file a tax return without ALL of your income documents; you must include every 2023 W-2 on the same tax return.  Employers have until the end of January to issue W-2’s.   Wait until you have all of your W-2’s.  Clients, schools, Social Security, healthcare.gov, banks, mortgage lenders, and other financial institutions may not have tax documents available until late January/early February.  ALL of your tax documents must be entered on the same Form 1040; do not file unless you have entered everything.

There is no hurry to file.  The IRS will not begin to accept e-files until January 29.