Wait, I think folks might be getting their chapters crossed. As far as I've followed 'Fated to the Alpha', the serialization ended a while back, well before hitting a chapter 277. The big climax went down in the 200-210 range, give or take. The main arc wrapped with Katya and Ezra finally dismantling the Shadow Council's ritual, but the cost was Ezra's latent power manifesting in a way that severed their initial bond. It wasn't a clean 'happily ever after' victory; it was messy and left them having to rebuild their connection from scratch, without the fate magic that originally pushed them together.
I've seen these phantom chapter numbers pop up on aggregator sites sometimes—they'll repost old chapters with new numbers to look current, or splice in chapters from unrelated stories. If you read a 277 somewhere, it's likely from a different series entirely, maybe another werewolf romance with a similar title. The actual ending for Katya involved her making a choice to reject the pre-destined 'fated' path and claim agency, which redefined the Alpha bond on her terms. That was the real climax.