As I understand it changing the MAC address should be the same for any network interface.
In the case of Linux Mint the Network Manager seems to have an identity setting for networks that looks like it explicitly supports MAC spoofing. But I’m not sure how well it actually works or if it requires additional tools in the background.
No idea whether there’s any simple way of doing it for bluetooth.
I would expect any bluetooth devices to treat it as an unknown connection which would break a lot of the functionality.
Bluetooth devices are also unlikely to support changing it which just transfers the problem to whatever you’re connecting to broadcasting its address.
The problem with TTL is that methods of changing it seem to refer to folders that don’t exist on my own Linux system. It might mean I’m simply running defaults or it could mean that their advice requires services that aren’t installed on my own machine. You could try the below, but I don’t know if it would work or how to revert if it doesn’t (outside of Timeshift likely being able to do so.)