The classroom display system has three major components. Components$$ reliabilities are $\mathrm{.}92,\mathrm{.}97,$ and $\mathrm{.}99.$ All components must function in order for the system to operate effectively.

Designers want to improve the reliability by adding a backup component. Due to space limitations$,$ only one backup can be added. The backup for any component will have the same reliability as the unit for which it is the backup. What will be the highest reliability the display system can achieve? $($Please keep two digits after the decimal point.$)$