Living in NY, but all my income from CT. How does NY tax work?

As far as I understand, if I am a resident of NY but make income in other state (CT), then I am supposed to fill out nonresident CT income tax as well as NY state income tax.

I thought that we were supposed to get the CT income tax amount credited to NY state income tax to avoid double taxation, however, when I look at my NY Tax Summary under Tax Tools, I don't see anything regarding CT tax amount.

Also, is New York Adjust Gross Income supposed to be equal to CT Adjust Gross Income even though I get 100% of my income in CT?

Thanks!