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We're borrowing the Weapon Potency Rune rules from the Pathfinder 2 playtest:

Enhancement Level	Attack Bonus	Damage Bonus
Standard Weapon	+0 to hit	Base Damage
Magic Weapon +1	+1 to hit	+1d damage
Magic Weapon +2	+2 to hit	+2d damage
Magic Weapon +3	+3 to hit	+3d damage
Magic Weapon +4	+4 to hit	+4d damage
Magic Weapon +5	+5 to hit	+5d damage

Since we're also using the Automatic Bonus Progression rules, this quality will be granted with the Weapon Attunement ability, starting at 4th level.
The section on Automatic Bonus Progression is here.