Possible plot hole regarding Luv?

I can't remember as it has been months, but was he using the same vehicle?

This is how i see it, after one viewing (I need to see it again to really be sure):

i think Luv tracked K to the upgrade clinic but "the child's" identity was still unclear, so Luv was letting it play out at that point and just observing before making a move. Even a fellow replicant wasn't able to tell that "the memory maker" was Deckerd's daughter, only K was able to put together the pieces much later of the fragmented memory that was hers as a child implanted into him. Maybe most importantly, I'm not sure Deckerd's daughter even knew herself of her own, natural-born origins, as much effort had been made to obscure and misdirect the birth records, aided even more by the Blackout that wiped most records clean a few decades before.

I think Luv truly lost track of K When he destroyed Joi's antenna so she could inhabit the emulator permanently (like a portable flash drive) when they went to the ruins of Las Vegas. Luv had been tracking him the entire time through his interactions with Joi, a Wallace product, though I'm sure through other devices as well. Right after K breaks the antenna they cut to a scene of Luv angrily storming off to Madame Joshi's office for their (deadly) confrontation, demanding to know where he is.