This fixes a UI issue where if a user had a filter set and marked the task done, it would not disappear, even though the filter does not match the done task anymore.
Previously, when using the filter query as a search input, it would load the search as requested but the filter query parameter in the url would be empty, which meant the search would not be loaded correctly when reloading (or otherwise newly accessing) the page. We're now persisting the filter and search in the task loading logic, to make sure they are always populated correctly.
