If at the end of each quarterly deficit monitoring review by the Executive Budget Office, it is determined by either the Executive Budget Office or a state agency, department, or institution that the likelihood of a deficit for the current fiscal year exists, the state agency shall notify the General Assembly within fifteen days of this determination and shall further request the Executive Budget Office to work with it to develop a plan to avoid the deficit. Within fifteen days of the deficit avoidance plan being completed, the Executive Budget Office shall either request the General Assembly to recognize the deficit in the manner provided in this chapter if it determines the deficit avoidance plan will not be sufficient to avoid a deficit or notify the General Assembly of how the deficit will be avoided based on the deficit avoidance plan if the Executive Budget Office determines the plan will be sufficient to avoid a deficit.