When two subjects are combined by the conjunction or, the verb agrees in number with the closer subject. If the closer subject is singular, the verb is singular (even if the farther one is plural); If the closer subject is plural, the verb is plural (even if the farther one is singular).
The room is too crowded, either two chairs or a table has got to be moved out.
The room is too crowded, either a table or two chairs have got to be moved out.
"Was there any insight you had or analytical deductions you
made that we didn't know about?"
The same rule may be applied here.