Grandmaster Z’ir is 5/12 lyonar legendary that becomes your general if your original one dies. So if he becomes your general, why wouldnt it have his unique BBS? I really hoped for this to happen with the introduction of the BBS in general but Zir just copies your original BBS. I believe that this new BBS can be on higher level than basic ones just due to the fact that getting Zir to become your general is already quite a challenge
Here are 2 of my ideas.
Give a friendly minion nearby your general +2/+2 and restore 2 health to it.
Give a friendly minion Zeal: When this minion deals damage,restore that much health to it and your general.
And what are your ideas?