What is the deep meaning of ha-umai?

Very good question Sukhpreet Kaur Ji. Ha-umai is ME. Every thing should revolve around me. When it does not that hurts the ego and ME gets angry.
ਹੰਉਮੈ ਅੰਦਰਿ ਖੜਕੁ ਹੈ ਖੜਕੇ ਖੜਕਿ ਵਿਹਾਇ॥ਹੰਉਮੈ ਵਡਾ ਰੋਗੁ ਹੈ ਮਰਿ ਜੰਮੈ ਆਵੈ ਜਾਇ॥ 592
In egotism, one is troubled by mental peace and passes life in
turmoil. Egotism is such a terrible disease that one spiritually die
and reborn over and over again. Nanak says those who seek for the
True Guru and get spiritual knowledge and wisdom eradicate ego.
Haumai, is a grave chronic disease.
Pride, Haumai, is the the term used to account for flaw in human personality, also called EGO.
Ego affects positive relations with others.
Ego bound individuals get stress and mental health problems.
Such people always find fault with others. They are never wrong. Everyone else is wrong.
ਹਉ ਬੰਧਉ ਹਉ ਸਾਧਉ ਬੈਰੁ ॥ ਹਮਰੀ ਭੂਮਿ ਕਉਣੁ ਘਾਲੈ ਪੈਰੁ ॥ ਹਉ ਪੰਡਿਤੁ ਹਉ ਚਤੁਰੁ ਸਿਆਣਾ ॥ ਕਰਣੈਹਾਰੁ ਨ ਬੁਝੈ ਬਿਗਾਨਾ ॥੩॥ AGGS 178
Hao Bandhao Hao Sadho Bair || Hamari Bhoom Koun Ghalai Pair || Hao Pandit Hao Chatur Siana || Karanaihar N Bujhai Bigana ||3||
The foolish person talks like, “I shall tie up my enemy, and I shall cut him down. Who dares to set foot upon my land? I am learned, I am clever and wise.” In egotism the ignorant fool does not recognize even the Creator.
ਹਉਮੈ ਏਹਾ ਜਾਤਿ ਹੈ ਹਉਮੈ ਕਰਮ ਕਮਾਹਿ ॥ ਹਉਮੈ ਏਈ ਬੰਧਨਾ ਫਿਰਿ ਫਿਰਿ ਜੋਨੀ ਪਾਹਿ ॥ AGGS 466
Houmai Eha Jaat Hai Houmai Karam Kamah || Houmai Eei Bandhana Fir Fir Joni Pahi ||
ਹਉਮੈ ਕਿਥਹੁ ਊਪਜੈ ਕਿਤੁ ਸੰਜਮਿ ਇਹ ਜਾਇ ॥ ਹਉਮੈ ਏਹੋ ਹੁਕਮੁ ਹੈ ਪਇਐ ਕਿਰਤਿ ਫਿਰਾਹਿ ॥ ਹਉਮੈ ਦੀਰਘ ਰੋਗੁ ਹੈ ਦਾਰੂ ਭੀ ਇਸੁ ਮਾਹਿ ॥
Houmai Kithahu Opajai Kit Sanjam Eh Jae || Houmai Eho Hukam Hai Paeiai Kirat Firah || Houmai Diragh Rog Hai Daroo Bhi Es Mah ||
ਕਿਰਪਾ ਕਰੇ ਜੇ ਆਪਣੀ ਤਾ ਗੁਰ ਕਾ ਸਬਦੁ ਕਮਾਹਿ ॥ ਨਾਨਕੁ ਕਹੈ ਸੁਣਹੁ ਜਨਹੁ ਇਤੁ ਸੰਜਮਿ ਦੁਖ ਜਾਹਿ ॥੨॥
Kirapa Kare Je Apani Ta Gur Ka Sabad Kamah || Nanak Kehai Sunahu Janahu Et Sanjam Dukh Jah ||2||
This is the nature of ego, that people perform their actions in ego to keep their individualism separate from God. This is the bondage of ego that they spiritually die and reborn again and again. Guru asks the question where does ego come from and how can it be eradicated? Guru then replies that ego exists by the Command of God (Hukam) and people perform actions in ego all the time. Ego is a chronic disease but it is not incurable. Nanak says ego can be eradicated if one works hard on the spiritual knowledge and wisdom of the Guru and achieves Virtues of the God.