Is there a name for this tense/mood?

Trachtenberg made her first TV appearance at age three in a commercial for Wisk detergent. She would eventually play featured roles in more than 100 commercials.

(From here, RIP: https://en.wikipedia.org/wiki/Michelle\_Trachtenberg)

That tense or mood or whatever it is really annoys me. It seems unnecessary — why not just say “she eventually played?”

Is there a name for it? It’s future if you’re in the period of the sense before it, but past to the reader. Or maybe it conditional or subjunctive?