I was under the impression that Lyft wasn't building self-driving in house and was instead partnering with Waymo. It looks like they do have in house self driving: https://self-driving.lyft.com/level5/

But they also have an extensive partnership with Waymo: https://self-driving.lyft.com/riders/

I also know that both Alphabet and GM have large stakes in Lyft. I bought stock in Lyft with the expectation that they will one day be acquired by one of their partners.