Leptoquarks are prime candidates for explaining the intriguing hints for lepton flavour universality violation. In particular, the SU(2)_L doublet of scalar leptoquarks S₂ is capable of providing an explanation for the tensions between the measurements and the Standard Model predictions in (g - 2)_μ, b → sℓ⁺ℓ^- and b → cτν processes, as well as in non-resonant di-electron production. However, in the minimal setup with a single leptoquark generation, a common explanation for all these issues is not possible as this would lead to unacceptably large charged lepton flavour violation. We therefore propose a model with three generations of S₂, each coupling exclusively to a single lepton flavour, i.e. a model extending the Standard Model particle content by an electroquark, a muoquark and a tauquark. We show that after taking into account other constraints, such as those originating from electroweak precision observables and ∆F = 2 processes, it is possible to provide a combined explanation for all these hints of lepton flavour universality violation. Moreover, we find that the presence of the tauquark can generate a dimension-six O₉^U operator via off-shell photon penguin diagrams, which, together with the muoquark contribution, further improves the global fit to b → sℓ⁺ℓ^- data.