How can I search in Miller Columns?

I have an interface using Miller columns like this:

And I'm trying to implement the search feature to it. What are my options?

The first method that I can think of is on blur search triggering with resetting the interface to the initial stage (first column full) with search applied to all nodes, only showing which contain the matching childs.

The second is to highlight the path with the parents containing the matching childs without losing the current state.

Is there any other methods that I'm not aware of yet? What's the standard and UX-wise easy method for this?