Late enrollment at OUSD (Peralta)

Hi. Moving to Oakland in mid-July and will be zoned for Peralta. We are obviously well past the enrollment deadline and are nervous we won't get our 1st grade son in due to overcrowding.  Has anyone experienced something like this and how did you handle?

I called OUSD and got almost no information other than an emphasis on how no spot was guaranteed. ("You can live across the street and not get in!")

Is there a database anywhere as to how many zoned kids got into a particular school?  Thanks so much for any guidance.