Meaning of "I height Don Quixote"

Solution 1:

This is clearly an error for hight, as Kate Bunting suggested it might be. We can be the more sure of this since both the title/headline and the URL of the linked source have it as hight.

hight (haɪt)
vb
(Poetry) (tr; used only as a past tense in the passive or as a past participle) archaic poetic to name; call: a maid hight Mary. (Collins English Dictionary)

(In 1943 the poet’s choice of such a poetic archaism is almost inevitably going to be ironic.)

The possible pun, however, on height, with reference to being “high” on such drugs as are then listed, could well be intentional despite the spelling difference.

Solution 2:

Here is a website where it is spelled "hight".

I hight don Quixote, I live on peyote, marijuana, morphine and cocaine. https://www.azquotes.com/quotes/topics/sadness.html?p=12

This strengthens for me the conjecture of others that it means.

"My name's Don Quixote..."

or

"I'm called Don Quixote..."