Answer

Shri Amam Swami, the 12th future Tirthankara, has the lanchan of Hawk — also commonly called Baaz. ( jainqq.org)

Explanation

In Jain tradition, every Tirthankara is identified by a unique emblem. In the future Tirthankara list, Amam Swami is shown with the Hawk emblem. ( jainqq.org)

Takeaway

So, the lanchan of Shri Amam Swami is Hawk / Baaz. ( jainqq.org)