So for DnD 5e, XGtE expanded/clarified the use of Tool Proficiencies and very specifically talks about when skill and tool proficiencies overlap and what to do in those situations (advantage or added benefit).
My question is about the situation where you are proficient with a tool but not a skill and there is a potential overlap in an ability check, are you able to apply your tool proficiency bonus to that ability check?
For example, say you are proficient in "Smith's Tools" and a ability check comes up when examining a Sword. According to XGtE there is an overlap in skills with Arcana, History, and Investigation when examining metal objects. However you are not proficient in any of those 3 skills. How is that ability check handled?
- Apply tool proficiency bonus to an Intelligence Check
- Apply advantage to an Intelligence Check
Another example which is definitely nitpicking I will add is Mason's Tools. In XGtE they state there is an overlap in Perception when examining a structure crafted from brick. Now Perception from my understanding is what you are able to notice with your 5 senses rather than say a dedicated Investigation. So you wouldn't really bring out your tools (unless it is to enhance your senses like a spyglass but Mason's Tools only consist of a trowel, a hammer, a chisel, brushes, and a square).
So is XGtE suggesting when looking at a structure composed of brick you are able to do a Wisdom check and add your proficiency bonus (because you are proficient with Mason's Tools) w/o the need of pulling out Mason's Tools?