I was able download a log while witnessing this issue occur, but it's not particularly useful as far as I can tell. Reproduced issue by going to bed, waking up to mouse without functionality, rebooting the device, then witnessing the issue right away.
Lines when booting up atre:
b11 f#)4 k1 ESP-ROM:esp32s3-20210327
Build:Mar 27 2021
rst:0x1 (POWERON),boot:0x2b (SPI_FAST_FLASH_BOOT)
SPIWP:0xee
mode:DIO, clock div:1
load:0x3fce3818,len:0x109c
load:0x403c9700,len:0x4
load:0x403c9704,len:0xb50
load:0x403cc700,len:0x2fe4
entry 0x403c98ac
EVENT: 0
Vendor ID: 0x46d,
Product ID: 0xc547,
New Device
USB Receiver
bNumInterfaces: 3
bInterfaceNumber: 0
controls: 0
wMaxPacketSize
64
DEVICE READY
bInterfaceNumber: 1
controls: 1
wMaxPacketSize
64
DEVICE READY
bInterfaceNumber: 2
controls: 2
wMaxPacketSize
64
DEVICE READY
USB Receiver
Connected keyboard with name USB Receiver
Last few lines of the log are:
0 0 239 255 245 255 0 0 1 147 64 0 0
Has id: NO
ID: 127
BUFFER SIZE: 13
SEND
0 0 254 255 254 255 0 0 1 147 64 0 0
Has id: NO
ID: 127
BUFFER SIZE: 13
SEND
0 0 230 255 241 255 0 0 1 147 64 0 0
Has id: NO
ID: 127
BUFFER SIZE: 13
SEND
0 0 252 255 253 255 0 0 1 147 64 0 0
Has id: NO
ID: 127
BUFFER SIZE: 13
SEND
0 0 222 255 238 255 0 0 1 147 64 0 0
Has id: NO
ID: 127
BUFFER SIZE: 13
SEND