It was taught to me that Jesus lived to an age of 33 or 34.
That’s nice. The Bible fixes the dates of his death and resurrection to the exact days.
Now backtrack 33 or 34 years and cite the Biblical source for the day he was born.
Now argue which date was more important, was it his birth date, or one of the two days, so crucial that they are exactly fixed and enshrined in The Holy Book?
Sidenote, completely unrelated to the divinity of Jesus but related to your post about Jesus’s age:
The only way we can date things about Jesus’s age in the Bible is its mention of Roman leaders and Emperors. These are well documented by historians down through the ages, some contemporaneously.
Jesus was born during the reign of Augustus (Luke 2:1), placing it from 27 BC to 14 AD.
It is further narrowed down by mention of Cyrenius/Quirinus being the governor of Syria and his census for taxation (Luke 2:2), which was done in 6 AD according to extra-Biblical sources.
So Jesus was born in what we think of now as 6 AD.
Jesus’s death and resurrection occurred in a less precisely documented time (at least Biblically).
John the Baptist began preaching about Jesus 15 years in the reign of Tiberius (Luke 3:1). Tiberius became Emperor when Augustus died in 14 AD. 15 years + 14 AD = 29 AD. Jesus began his ministry around 1 year later when He was 30; this is confirmed explicitly by Luke (Luke 3:23).
Jesus’s ministry began around that time and continued for 1 to 3 years afterward loosely according to the Gospels.