Breaking news, so this is short: Pence and Erdogan have apparently negotiated a temporary cease fire, supposedly Turkish forces will halt their advances long enough for the Kurds to “get out of the way”.
Pence: Trump is "very grateful" to Erdogan for ceasefire
No word yet on how long that might hold, or indeed if the Kurds have even agreed to this (though Pence claims to have spoken to Kurdish representatives, though no indication of this was a “here’s what’s happening, deal with it” message or an actual conversation). Indeed, I am not holding my breath insofar as believing Erdogan is going to keep to the cease fire for any longer than it’s convenient for Turkey to consolidate what it’s already grabbed before they start moving again, whether the Kurds have gotten out of their way or not.