"But what does  t.  do?"

Use the dictionary.

t. is an adverb.

The dictionary heading on the page says
u t.  0 0 0

This means (and it took me 2 years before I understood how to read
dictionary headings.  I learned a lot of j via the "parts of speech"
dictionary access page)

The verb formed by
u t.
has rank 0 0 0

u t. is a verb.
therefor t. is an adverb.

The production   adverb noun
is a j syntax error.

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