Original state of things in 4th conjugation

[language learner]

The a in present tense (haluAn, haluAt, haluAA) can't be original, since it's from the infinitive (halutA < haluttak) and must have been brought into the paradigm by analogy. So how was the original declension in this case? I guess it was something like
*halutem
*halutet
*halutee
but Im not sure. Does anyone have information on the matter?

[Virankannos]

I see no reason to regard the stem-final A as a product of analogy. What do you mean by "it's from the infinitive"? Is there a reason why a stem couldn't originally end in -A?

As far as I know, the paradigm of haluta in Late Proto-Finnic was as follows:

infinitive: *halut̆tak
present conjugation:

*haluδa-n	*haluδa-mme
*haluδa-t	*haluδa-tte
*haluδa-pi	*haluδa-βat

(where t̆t is a semi-long geminated consonant and δ is a voiced dental fricative (IPA: /ð/)

The infinitive before that has most likely been *haluta-tak, and over time the stem-final -ta and the -ta- at the beginning of the infinitive morpheme have merged, thus producing the Late Proto-Finnic form and ultimately modern-day haluta.

[language learner]

That's interesting. Where have you read this?