What feature does the mobile Hangouts app provide regarding conversation notifications?

The mobile Hangouts app includes a feature that allows users to mute conversations. This is particularly useful for managing notifications, as users can choose to temporarily silence alerts from specific conversations that might be generating too many notifications without needing to leave the conversation entirely. Muting a conversation lets users participate at their convenience, helping to reduce distractions while still allowing them to catch up on messages later.

In contrast, the other options do not specifically relate to managing notifications in the same way. Blocking all notifications would be a more extreme measure and would likely prevent the user from receiving any alerts from the app, rather than selectively managing them. Deleting conversations is a more permanent removal of chat history, which does not address notification management, and archiving conversations typically allows users to hide them from view without losing the content, rather than specifically tailoring notification preferences. Thus, muting conversations stands out as the best option for controlling notifications.