Below are three sets of three words. Each word shares a common linguistic property. The words in each set share a nested property. Identify the properties and explain.
This appears to be harder than I had intended, so I'll start providing hints.
There are two stages to this puzzle. To uncover stage two, it may help to read aloud. There's more in what you'll hear than in what you'll see.
Some of these words have multiple meanings, but this puzzle only focuses on one. To hopefully weed out some red herrings in future answers, here is a list of which part of speech each word is meant to be:
Beams: Plural noun