Following today’s news on ZDNet that Ubuntu now needs a patch to patch the patch (say that when you’ve had a drink) I had a quick check and found that Linux Mint’s Update Manager repositories do indeed have a kernel patch… but only to bring it up to the vulnerable 4.15.0-44.47 version AFAICS. (I have no idea what’s going on…)
I see no signs yet to a patch to 4.15.0-45.48… (Does your Update Manager show differently?)