That will happen anyway, I’m afraid. WaniKani teaches only enough words to cover most common kanji readings. Some of these words are common and useful (case in point, when starting Tobira, most of the “new” words there overlapped with WaniKani), many are not.
What WaniKani will give you is kanji recognition and the ability to look up stuff much easier in a dictionary. For vocab you either need to do sporadic mining using kanji from WaniKani you’ve learned already or start reading early on (manga like よつばと or books aimed at children, or later the EASY articles from NHK News).
But to read, meaning assemble the context and understand nuances, you also need grammar. Preferably something around N4 or a little above. Many resources like Cure Doll’s videos, Tae Kim’s guide to Japanese or Genki 1 + 2 should get you far enough
. If you want to go further, Tobira is a nice all-rounder that focuses primarily on reading comprehension + some grammar sprinkled on top.
What comes later is up to you ;). When reading, sticking to one source or one author might be a good idea, because then you will get used to their writing style and at least that will become less of an issue as you continue.