SOLVED. Adult Medieval/ High Fantasy progression, resurrected protagonist trains to become the world's most skilled fighter

[Khla]

I believe this is a fairly well known book, but the title slipped my mind. I read this some time last year, and the plot has been nagging at the back of my head.

A family in a village is attacked by a snow cat of some sort, and killed. The young man dies being thrown into a well, but his eyes glow and he is resurrected, losing all his memories.

He is kicked out of the village due to the strange circumstances and works at a school or orphanage that a man in the village has contacts with. After a bullying incident a military man sees potential in him and recruits him for sword training. He quickly masters the fighting techniques, determined to be faster (I forget his main goal).

Eventually there is a tournament to decide warriors to move on to an elvish academy of some sort, for training amongst the most skilled fighters. He makes it, and meets an elf that has flashbacks to his and her past lives, where they were apparently couple. I think he is a reincarnation of the world's hero of old or something. I don't remember past this point, or if they ended up discovering this connection.

I tried AI with these descriptions, but it has miserably failed to produce results.

[Khla]

I remember that I first came across the book on a reddit about books similar to Blood Song and The Name of the Wind

[Khla]

SOLVED: A Testament of Steel (Instrument of Omens, #1) by Davis Ashura

I scoured reddit lists until I recognized the name (I have no patience)