However, if want to see the automation’s History then don’t exclude it from Recorder but only from Logger like tom_l recommended.
FWIW, in my case, I exclude the entire automation domain in Recorder.
An automation’s last_triggered attribute tells me the last time it executed. If I want to see farther back in time, I can check the automation’s traces (stores last 5 traces by default). Speaking of which, you may also wish to consider reducing the number of stored traces, for that specific automation, from 5 to something less.