I want to use the coc command to warp into the institute early so I can

but I don't know the location code. I only know that it isn't:

coc institute

coc theinstitute

coc instituteext (sends you near the ruined CIT building)

coc instituteint

in your console type this

help institute 0 0

it'll bring up locations...look for the location name and type coc name

That brings up a whole slew of them. My guess is you would want InstituteConcourse.