In Tasha's Cauldron of Everything and the Artificer from Unearthed Arcana 2024: The Artificer, the Spellcasting feature has a section titled "Tools Required".
TCoE, p. 11:
Tools Required
You produce your artificer spell effects through your tools. You must have a spellcasting focus—specifically thieves’ tools or some kind of artisan’s tool—in hand when you cast any spell with this Spellcasting feature (meaning the spell has an “M” component when you cast it). You must be proficient with the tool to use it in this way. See the equipment chapter in the Player’s Handbook for descriptions of these tools.
UA 2024: The Artificer, pg. 2:
Tools Required
You produce your Artificer spells through tools. You can use Thieves’ Tools, Tinker’s Tools, or another kind of Artisan’s Tools with which you have proficiency as a Spellcasting Focus, and you must have one of those focuses in hand when you cast an Artificer spell (meaning the spell has an "M" component when you cast it).
The Sage Advice Compendium states that you can perform the Somatic components of a spell with the same hand that holds the Material component, assuming you use a Spellcasting Focus:
If a spell requires Material components, the spellcaster must have a hand free to access or hold them, but it can be the same hand used to perform Somatic components, if any. This latter rule holds true for using a Spellcasting Focus, which a spellcaster must hold unless its description says otherwise.
For example, a Cleric uses an Emblem on a Shield as their Holy Symbol. When in combat, this Cleric likes to wield a Mace in one hand and the emblazoned Shield in the other. This Cleric must have the Shield in hand when casting a Cleric spell that requires a Material component. If the spell, such as Aid, also requires a Somatic component, the Cleric can perform the Somatic component with the hand holding the Shield, allowing the Cleric to keep wielding the Mace. However, if this same Cleric were to later cast Cure Wounds—which has Somatic components but no Material components—they would need to unequip either their Shield or Mace to free a hand for the Somatic components.
If my Artificer's hands are full, holding a Tool in one hand and a Shield in the other, would they still be able to cast Cure Wounds?
Like the SAC example given, the spell would have both a Somatic and Material component, and thus unlike the Cleric they wouldn’t need a free hand to deliver the spell’s touch.