By default, the search feature will query all boards.

I have never needed to search more than one project at a time, so it would be preferred for the scope of this search to be narrower by default - to include only records within the active project.

Additionally (as shown in the screenshot) I changed the name of the board to include the project ID to make these searches easier to parse, but the board name in the record summary shown on the search result is still the old name.

Board names also tend to be similar (or identical) between projects, so it would be more useful to include the project name before the board name in the search results.