EspMuse with squeezelite-esp32 doesn't start after battery was drained

I’m assuming that you are using Squeezelite, this behaviour has been reported in the Slimproto forum, you could check over there searching for the Muse Luxe thread.
But try to open a serial terminal, you should still have the command prompt and you can try to go in recovery mode :

nvs_erase_wifi_manager
restart

What I think is happening is that Squeezelite have a hard reset while it is writing some config data, resulting in some data corruption.