tight_layout versus constrained_layout for subplot label overlap in Matplotlib 3.9

When creating a multi‑axis figure that includes a suptitle, several colorbars, and tightly spaced subplots, the chosen layout engine determines whether labels overlap or remain distinct.

The goal is to select a layout method that prevents label clipping while keeping the saved figure dimensions consistent across Matplotlib 3.5 and 3.9 releases.

Given that tight_layout may clip figure‑level titles and constrained_layout can issue warnings with certain inset axes or GridSpec setups, what trade‑off should be made to achieve reliable layout behavior without altering output size when the backend version changes?

Specifically, does switching from tight_layout to constrained_layout guarantee non‑overlapping elements for this configuration, and how does the active layout engine affect saved figure dimensions across Matplotlib versions?