The ruling on one who combined 'Umrah with Hajj and performed the actions of the one who combines them

Your Eminence, Shaykh! We received this letter from the Arab Republic of Egypt, from Ahmad Amin Jum'a, from the Arab Republic of Egypt, Zagazig. In this letter, he says: To the honorable scholars of the "Light on the Path" program! I have performed Hajj twice and 'Umrah four times. This year, I performed Hajj on behalf of my mother, who was unable to perform the rites, and also on behalf of my brother, who performed Hajj on behalf of our father, who was unable to perform the rites. Given their advanced age, I intended to enter the state of ihram for Hajj as one who combines 'Umrah with Hajj. After arriving in the sacred lands, I performed the arrival tawaf and the sa'y, but I did not shorten my hair. I did not exit the state of ihram until after throwing the first pebble at the Jamrah. I did not sacrifice an animal, and I did not perform sa'y again other than the tawaf of ifadhah and the tawaf of farewell. Is this permissible? Is it counted as only one Hajj, or what? What is the ruling of the religion in this matter? Do I have any good deeds to compensate for this? Please inform us, may the Most Merciful Allah reward you with the best reward.
Answer: In the name of Allah, the Most Gracious, the Most Merciful. Praise be to Allah, and may peace and blessings be upon the Messenger of Allah, and upon his family and his Companions, and upon those who follow his guidance.
As for what follows: It appears from the questioner's inquiry that he intended to combine 'Umrah with Hajj, but he did not explicitly declare the 'Umrah. He entered the state of ihram as one who combines them. If he intended by his purpose to combine 'Umrah with Hajj, then combining them is called tamattu', and this is the action of the one who combines them: that he performed tawaf and sa'y and remained in his state of ihram. This is the action of the one who combines them. Then he performed tawaf afterwards and did not perform sa'y. The first sa'y suffices for the sa'y after Hajj, provided he intended to perform both Hajj and 'Umrah only, and did not intend to exit the state of ihram after the sa'y upon his arrival in Makkah. Rather, he intended to combine 'Umrah with Hajj, meaning to join them together and combine them. So he performed tawaf and sa'y, then performed tawaf after Hajj, and his tawaf for farewell is sufficient. However, he must offer a sacrificial animal (hady). He must send someone to slaughter a sacrificial animal for him in Makkah, because the one who combines them is like the one who exits the state of ihram with 'Umrah; they are the same. So he must offer a sacrificial animal to be slaughtered in Makkah. But if he intended by his saying "one who combines 'Umrah with Hajj" that he meant combining Hajj, not 'Umrah, and that his purpose was an independent Hajj, then he does not have to offer a sacrificial animal. His tawaf and sa'y are sufficient as the first ones, and the tawaf of ifadhah he performed afterwards is sufficient for him, and the tawaf of farewell is also sufficient, and he does not have to perform another sa'y. Likewise, if he intended both Hajj and 'Umrah, he only has to perform one sa'y, which is the first sa'y he performed, and that is sufficient for him. But if he intended 'Umrah, knowing it and aiming for it, then he must offer the sacrificial animal. He must come and slaughter it in Makkah, or appoint a trustworthy person from among the trustworthy to slaughter it in Makkah on behalf of his combining. By doing so, he has fulfilled the obligation, which is the obligatory sacrificial animal for tamattu', and he has nothing else to do. And Allah knows best. Yes.