Its the Brother software/driver thats doing the querying for the brw0c96e612e040 name.
I dont know how to change this name in your software.
So add a line to hosts file with that name brw0c96e612e040 pointing to the correct IP.
Correct IP can be found by running below on the win pc:
nslookup brw0c96e612e040
To prove its working, put in a bogus non existent IP on that line in the hosts file, save and run a ping on the win pc eg:
ping brw0c96e612e040
EDIT: ow at same time you could live tail the logs on Pi-hole if queried for brw0c96e612e040 :
pihole -t