Levistus's_Leviathan
5e Freelancer
It's even more for Mountain Dwarf Artificers. Trade your Light and Medium Armor proficiencies, as well as all 4 weapon proficiencies for a one tool each. Then you get one from being a dwarf, thieves' tools and tinker tools and one other tool proficiency of your choice from being an artificer, as well as one from your subclass at level 3. Then, take a background that gives you two tool proficiencies.IDK about mountain dwarf for armor on a wizard, but I just built a duergar fighter for the RotF campaign and I was giggling when I realized that I got 4 free tool proficiencies without losing anything by swapping out all of my BS racial weapon profs. Between base dwarf, background, and optional swaps, I think that's 6 tool profs on top of what Rune Knight will give.
That's a grand total of 12 tool proficiencies at level one and an additional at level 3.