Claimed, madam. Claimed by yourself.
Rose is here for Rose. No, honestly! Sure, there might be a bit of the occasional confusion and/or animosity about which Doctor belongs to which Rose and whether or not one of them snogging the other’s Doctor counts as cheating or is really just experiencing said snogging from another angle…but still. At the end of the day, the Roses Tyler must stick together.
Hence, the encouraging pat this Rose gives that Rose. Or maybe she simply realizes her alternative self could use a bit of a lark. “C’mon. Neither of ‘em will be back for hours yet. Let’s, you an’ me, go see what sorts of trouble we can get into, yeah?”