QUESTION
What is the name of the wooden beam that supports fascia, drip edge, soffit, and gutter? The nomenclature is important because it is hard (if not impossible) to Google anything without knowing what it is called.
CONTEXT
A contractor has accepted gutter replacement, however, several wooden boards have begun rotting. The beam must be replaced before installing the gutter.
I am trying to look up or estimate the labor replacement cost per linear foot to replace said wooden beam in zip code 32084. Ideally there would be a calculator for the exercise.
I am trying to gain a sense of what it costs to have a craftsman to perform the task, I may be inclined to DIY-it if the estimates are high enough.
I am new at this: any guidance, lessons-learned, pitfalls to avoid are appreciated.
Front of building: