Can you combine an Artificer’s Enhanced weapon infusion with a +3 magic weapon?


The Artificer’s Enhance Weapon infusion (ERftLW) grants a +1 (+2 at 10th level) bonus to attack and damage rolls made with the infused weapon. Is it possible to combine this infusion with a magic weapon that already has a +3 magical bonus? Thereby granting a +4(+5 at 10th level) bonus to attack and damage rolls.

I believe it is ok, if you first apply the enhanced weapon infusion and then the +3 from the magic weapon. However I don’t know if "(any)" weapon applies to the enhanced weapon (that become magic).