Machine Replacements via Memoryless Minimum

A factory runs 3 identical machines with independent lifetimes $\operatorname{Exp}(1)$. When any machine fails, it is instantly replaced with a new identical machine. All non-failed machines continue running (their residual lifetimes remain $\operatorname{Exp}(1)$ by memorylessness). Find the expected number of machine replacements in the time interval $[0, 10]$.