Now that we've had the first "official" day... You're Carranza for a week. How would you realistically improve the system?
Assume modest amounts of additional teachers are available, but not the tens of thousands that would be necessary for every hybrid cohort to have its own teacher, because I don't think there ARE that many excess teachers in the tri-state area.
Buddy each hybrid cohort with a college-age "intern", preferably an education major from an NYC college or an NYC resident student whose college is remote. Pay them minimum wage (plus college credit?) to shadow the cohort in the classroom for half the day, and then spend the other half the day in a rec center, library, park, wherever, playing games and supervising them doing assignments from the teacher. Cohorts switch off at lunch time so each has half a day with their certified teacher, plus half a day with guidance doing remote work. All day with the same pod of kids.
Failing that, presuming money is too tight--just scrap the stupid daily pacing rule. If my 3rd grader is scheduled to start fractions, and his first in-person day for the week is Wednesday, then that's the day his cohort should start on fractions. Don't make him spend two days trying to learn them independently so he's already frustrated before his teacher actually gets to explain it to him.