Would My Custom Weapon Idea Work Well? [closed]

I had an idea to make a custom sword that increases its damage for every finishing hit it does. It would increase by 0.1% 0.5% or 1% each time. Earlier in the campaign it would be under powered and the player would have to grind it out but later in the campaign it would be over powered. Would a mechanic like this work or would it be a bad idea?

Thanks! Example