As Dan DeWeese mentions, the best thing to do is call (see phone numbers in this thread).  The precise schedule (including azimuth and elevation angle) will be known 24 hours in advance.

The mission test phase starts the week of 3/28/22 and runs for one year after launch (August or September, 2022), unless it gets extended (which often happens).  Read about the mission here: https://www.nasa.gov/directorates/heo/scan/opticalcommunications/psyche-dsoc/.

From a long-term perspective, this facility (https://scienceandtechnology.jpl.nasa.gov/optical-communications-laboratory) will be continuing to operate for the foreseeable future.  However, except for DSOC projects, the lasers are lower power, and do not pose an eye injury hazard.