feat: enhance project retrieval by including additional times and update search parameter naming

ServiceHost/Areas/Admin/Controllers/ProgramManager/ProjectController.cs

@@ -44,9 +44,9 @@ public class ProjectController : ProgramManagerBaseController
 
     [HttpGet("search")]
     public async Task<ActionResult<OperationResult<GetProjectSearchResponse>>> Search(
-        [FromQuery] string query)
+        [FromQuery] string search)
     {
-        var searchQuery = new GetProjectSearchQuery(query);
+        var searchQuery = new GetProjectSearchQuery(search);
         var res = await _mediator.Send(searchQuery);
         return res;
     }