Three times in this verse Advaita Acarya mentions He is servant of the servant
Adi 6.86-caitanyera dāsa muñi, caitanyera dāsacaitanyera dāsa muñi, tāṅra dāsera dāsa
TRANSLATION“I am a servant of Lord Caitanya, a servant of Lord Caitanya. I am a servant of Lord Caitanya, and a servant of His servants.”
The source of the sentiment of servitude is indeed Lord Balarāma. The plenary expansions who follow Him are all influenced by that ecstasy.
Lord Saṅkarṣaṇa, who is one of His incarnations, always considers Himself a devotee.The Viṣṇu who lies on the Causal Ocean is an incarnation of Lord Saṅkarṣaṇa, and, accordingly, the emotion of being a devotee is always present in His heart.
Advaita Ācārya is a separate expansion of Him. He always engages in devotional service with His thoughts, words and actions.
By His words He declares, “I am a servant of Lord Caitanya.” Thus with His mind He always thinks, “I am His devotee.”
With His body He worshiped the Lord by offering Ganges water and tulasī leaves, and by preaching devotional service He delivered the entire universe.
Śeṣa Saṅkarṣaṇa, who holds all the planets on His head, expands Himself in different bodies to render service to Lord Kṛṣṇa.
These are all incarnations of Lord Kṛṣṇa, yet we always find that they act as devotees.

The scriptures call them incarnations as devotees [bhakta-avatāra]. The position of being such an incarnation is above all others.
Lord Kṛṣṇa is the source of all incarnations, and all others are His parts or partial incarnations. We find that the whole and the part behave as superior and inferior.
The source of all incarnations has the emotions of a superior when He considers Himself the master, and He has the emotions of an inferior when He considers Himself a devotee.
The position of being a devotee is higher than that of equality with Lord Kṛṣṇa, for the devotees are dearer to Lord Kṛṣṇa than His own self.
Lord Kṛṣṇa considers His devotees greater than Himself. In this connection the scriptures provide an abundance of evidence.
“O Uddhava! Neither Brahmā, nor Śaṅkara, nor Saṅkarṣaṇa, nor Lakṣmī, nor even My own self is as dear to Me as you.”
The sweetness of Lord Kṛṣṇa is not to be tasted by those who consider themselves equal to Kṛṣṇa. It is to be tasted only through the sentiment of servitude.
This conclusion of the revealed scriptures is also the realization of experienced devotees. Fools and rascals, however, cannot understand the opulences of devotional emotions.
Baladeva, Lakṣmaṇa, Advaita Ācārya, Lord Nityānanda, Lord Śeṣa and Lord Saṅkarṣaṇa taste the nectarean mellows of the transcendental bliss of Lord Kṛṣṇa by recognizing Themselves as being His devotees and servants. They are all mad with that happiness, and they know nothing else.

What to speak of others, even Lord Kṛṣṇa Himself becomes thirsty to taste His own sweetness.
He tries to taste His own sweetness, but He cannot do so without accepting the emotions of a devotee.
Therefore Lord Kṛṣṇa accepted the position of a devotee and descended in the form of Lord Caitanya, who is complete in every respect.
He tastes His own sweetness through the various emotions of a devotee. I have formerly explained this conclusion.
All the incarnations are entitled to the emotions of devotees. There is no higher bliss than this.———————————————-

Some Conclusions–-I am sure there are hundreds of conclusions one can draw from this sequence of verses in CC. And the most obvious one is that everyone is servant of Krsna, especially all His incarnations who have imbibed that emotion from Lord Balaram Himself.In one purport of SB Srila Prabhupada says…
SB purport 1.2.6...The relation is one of the servant and the served. It is transcendental and is completely distinct from our experience in material existence. This relation of servant and the served is the most congenial form of intimacy. One can realize it as devotional service progresses. Everyone should engage himself in that transcendental loving service of the Lord, even in the present conditional state of material existence. That will gradually give one the clue to actual life and please him to complete satisfaction.And this famous verse…

Adi 5.142-ekale īśvara kṛṣṇa, āra saba bhṛtyayāre yaiche nācāya, se taiche kare nṛtya

TRANSLATION–Lord Kṛṣṇa alone is the supreme controller, and all others are His servants. They dance as He makes them do so.
The more we serve others, the more happiness we obtain. And if we try to satisfy Krsna or His devoteesl, there is no limit to the bliss we shall obtain

Hare Krsna

damaghosa das—I love this sequence of verses very much