This is the period of cell life during interphase between the synthesis of new genetic material and the beginning of mitosis.

g 1 phase
g 0 phase
g 2 phase
m phase

The period you’ve described would be the G2 phase which is considered a “checkpoint” that determines whether or not a cell can enter the mitosis phase

During Interphase, the period or phase  between the synthesis of new genetic material ( S phase) and the beginning of mitosis (M-Phase) is G2 Phase or Second Growth Phase.

Explanation:

A typical cell cycle consists of two basic phases-

I-Phase or Interphase - this is the long non-dividing phase when the cell grows in size and equips itself with all necessary molecules required for the cell division by duplicating them.M-Phase or Mitotic Phase - this is the short phase and represents the phase of actual cell division. It is the stage of separation of already duplicated components.

The long interphase can again be subdivided into three stages or sub-phases, which are-

G1 Phase ( First Growth phase or Post Mitotic Gap Phase) - This is the longest phase of interphase. Constant metabolism occurs inside the cell and continuous growth of the cell happens. During this phase, the amino acids, energy-rich molecules like ATP and nucleotides are formed.S Phase ( Synthesis Phase) - As the name suggests, this phase is when synthesis or duplication of the genetic material occurs. DNA duplication, growth of nucleus, replication of chromosomes and centriole replication are some major events that happen during this phase.G2 Phase ( Second Growth phase or Pre-Mitotic Gap Phase) - In this phase, the synthesis of DNA stops. Formation of RNAs and proteins continue during this phase. The cell prepares itself to enter the mitotic phase or dividing phase.