If the WT lose this appeal do they have an automatic right to appeal to the California Supreme Court or could they be refused further right of appeal?
The California Supreme Court would have the discretion to accept the appeal or not. They can refuse to hear it without explaining why. If there is a further petition for review, it should be granted or denied within 4-6 months from when the Court of Appeal opinion is released.
Of course, if the CA Supreme Court accepts the appeal, that would trigger a whole new round of briefing, oral argument, etc.