Which stage takes pretty much the same amount of time regardless of cell type? Explain

The most appropriate answer would be mitosis or M phase.

Mitosis or M phase is the cell cycle phase in which nuclear contents of the parent cell is equally divided into two daughter cells.

It is subdivided into four stages:

Prophase Metaphase Anaphase Telophase

It is then followed by cytokinesis in which the cytoplasm or cellular components are divided into two daughter cells.

As this phase does not include synthesis or growth of a cell, it takes pretty much the same time irrespective of the cell type.