ChipsChips & LozengeLozenge are the same as the Pill, but I chose the term "Pill" because it is...
How is Pill different from the Button if it can execute functions or open a new page?
Well, the Pill keeps its tagging hypostasis even if it acts like a button, but a button has nothing to do with organization and filtering.
See the above screenshot from Notion; pills are used in a table to "tag" rows. Imagine clicking/tapping the "tag b" badge on a row will open a new page containing info about this tag. (a similar example is clicking a hashtag on Instagram which opens a new page, showing posts tagged with the same name)
Again, I ask you to give share your thoughts and help reach a standard!