refactor(cards): template search grid through the builder

router/search.go (the templ BooksGrid fragment surface) now uses
BookCardsFromUnified — the unified row's LibraryTypeName column gives
the badge with no LibraryTypeMap query; also drops that site's
needless pgtype.UUID byte-roundtrip on the cover URL.

internal/router/search.go

@@ -4,7 +4,6 @@ import (
 	"bookhoard/internal/database"
 	"bookhoard/internal/handlers"
 	"bookhoard/internal/services"
-	"bookhoard/internal/utils"
 	"bookhoard/templates"
 	"bytes"
 	"log"
@@ -101,19 +100,7 @@ func handleSearchHTML(c *echo.Context, cfg *Config) error {
 		return c.HTML(http.StatusInternalServerError, `<div style="color: red;">Search error</div>`)
 	}
 	// Convert to BookInfo
-	bookInfoList := make([]handlers.BookInfo, len(results))
+	bookInfoList := handlers.BookCardsFromUnified(results)
-	for i, book := range results {
-		bookUUID, _ := uuid.FromBytes(book.ID.Bytes[0:16])
-		bookLibUUID, _ := uuid.FromBytes(book.LibraryID.Bytes[0:16])
-		bookInfoList[i] = handlers.BookInfo{
-			MediaItemID:    bookUUID.String(),
-			Title:          book.Title,
-			Author:         textToString(book.Author),
-			CoverImagePath: utils.ResolveMediaURL(pgtype.UUID{Bytes: bookLibUUID, Valid: true}, book.CoverImagePath),
-			FormatGroup:    book.FormatGroup,
-			Badge:          handlers.MediaBadgeKind(book.FormatGroup, book.LibraryTypeName),
-		}
-	}
 	// Stamp active conflict flags so cards route the play action correctly
 	bookInfoList = handlers.MarkActiveConflicts(c.Request().Context(), cfg.Queries, user.ID, bookInfoList)
 	// Render using BooksGrid template (or BookPickerGrid for collection picker)