In case anybody else finds this useful...
I have a logitech mx anywhere 3s mouse, which only works via bluetooth out of the box. It is however possible to get the mouse to pair wirelessly with a logibolt receiver and, once done, the mouse appears to remember the connection making it much easier to use with tinycore.
Using the solaar extension in the tc-15.x x86_64 repo:
tce-load -i solaar
sudo modprobe hid-logitech-dj
sudo modprobe hid-logitech-hidpp
sudo /usr/local/etc/init.d/dbus start
solaar show
...
Bolt Receiver
Device path : /dev/hidraw4
USB id : 046d:C548
Serial : 35363645374336303239334145323333
...
Then using the serial number found above: solaar pair 35363645374336303239334145323333
Bolt Pairing: long-press the pairing key or button on your device (timing out in 30 seconds).
Bolt Pairing: discovered MX Anywhere 3
Bolt Pairing: press left, left, right, right, right, right, left, left, left, right
and then press left and right buttons simultaneously
Paired device 1: MX Anywhere 3S (MX Anywhere 3) [B037:C13AC561]