Searching - time track adjustment & order of operations

I’ve been looking through posts here and on BGG and couldn’t find an answer.

If an adjustment to the time track is required when rolling on Table F for the search step, am I required to resolve the time track adjustment first before applying the details in the ‘details‘ section of the table? Or, can I resolve the time and details columns in any order I choose.

I ask because it could make a difference if the time track adjustment takes me into combat or requires me to spend oil or rations. What I find may help. Thematically it makes more sense to me to always resolve the time adjustment first as it took that amount of time to find the item and I ran into some issues that I needed to address while searching. Then I can collect whatever I found.

Curious as to what was intended though.