One should know a gaudiya vaishnava means “i am Gaura das” and “i am Radha dasi”..

Mahaprabhu Himself said-

nāhaṁ vipro na ca nara-patir nāpi vaiśyo na śūdro

nāhaṁ varṇī na ca gṛha-patir no vanastho yatir vā

I am not a brāhmaṇa, am not a kṣatriya, am not even a vaiśya or a śūdra. I am not a brahmacārī, am also not a householder, am not a vānaprastha or a sannyāsī.

So when one is not a brahman, what is the need for Brahman Initiation?

In real unbroken Gaudiya Vaishnava Sampradaya, there is only Vaishnava Diksha and no Brahman Diksha.