In future, there will be an option to filter the entries for certain statuses on the activity card:

The optional status filter makes it possible to focus on specific and relevant events, such as the switching on of a specific sensor. Frequent status changes of a status, such as over 100 times from "off" to "unknown" and back to "off", are hidden by this filter. This keeps the display clean and clear without being flooded with uninteresting details.

The corresponding pull request has already been included in the development version of Home Assistant, see: https://github.com/home-assistant/frontend/pull/27685 and https://community.home-assistant.io/t/logbook-card -filter-states/336632/12