Write chemical,total ionic and net ionic equations for the reaction between the antacid aluminum hydroxide and stomach acid. Please explain!?

The chemical formula of aluminum hydroxide is Al(OH)₃, which is insoluble in water. 1 mole of Al(OH)₃ contains 3 moles of OH⁻ ions.
Stomach acid is hydrochloric acid, HCl. 1 mole of HCl gives 1 mole of H⁺ ions.
Hence, the balanced chemical equation for the reaction between Al(OH)₃ and HCl is :
Al(OH)₃(s) + 3HCl(aq) → AlCl₃(aq) + 3H₂O(l)

In aqueous solution, HCl completely dissociates to give H⁺ and Cl⁻ ions, while AlCl₃ completely dissociates to give Al³⁺ and Cl⁻ ions. In the equation, they can be written in ionic forms.
On the other hand, Al(OH)₃ is insoluble in water, while H₂ dissociates to a negligible extent. In the equation, they should not be written in ionic forms.
Hence, the total ionic equation is :
Al(OH)₃(s) + 3H⁺(aq) + 3Cl⁻(aq) → Al³⁺(aq) + 3Cl⁻(aq) + 3H₂O(l)

Cl⁻ ion is the spectator ion. Cancel 3Cl⁻(aq) on the both sides of the total ionic equation above. The net ionic equation is :
Al(OH)₃(s) + 3H⁺(aq) → Al³⁺(aq) + 3H₂O(l)