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Just called Tesla Energy and was told the app has a problem, allowing the last selected mode to be locked. They are working on a firmware update which allows you to again select between modes and should be done by the end of this week.
What is the version number with the problem?
I seem to have seen something similar just this week. I wanted to change my reserve from 0% to 20% for a rain event earlier this week, the PW was discharging at 18% when I made the change. I heard it click off and back on again a few seconds later, but it continued to discharge all the way to 0. The next day it charged up to about 30%, but then discharged all the way to 0 again (with the app still showing a 20% reserve). I switched to backup only (still discharged), back to self-powered, changed the reserve setting a few more times, the app always reflected my change, but the PW seems to be stuck in self-powered with a 0% reserve right now. And I never heard it click off again after that first time (recently I'd been rather impressed that I'd make a change to the reserve and within a few seconds hear the PW responding to the change). I didn't try resetting the Gateway or throwing the switches for the PW. I hadn't updated the app and the Gateway's firmware didn't change from when this was working last week to broken now, but it sure seems things are broken right now based on what I'm seeing.
I'll have a better idea in the morning, changed my reserve from 0 to 20% in the app tonight since tomorrow's forecast is for rain again, and with v1.44.2 I was back to an almost immediate response from the PW. We'll see if it actually stops at 20% in the morning.