Flagstaff has above average precipitation amounts for both the calendar year, and the water year (since 1 September). February had a final big storm at the end of the month to just cross the normal for the month. So far, March has been effectively dry.
It looks like it’s going to stay the way for most of the month. However, it might go out with a bit of precipitation. A storm showed up in the GFS model on March 22-23. It’s not a huge storm, and it is a long way out, but it’s the first real shot that has been in the computer model for quite a while.