We search for possibly existent bound states in the heavy-light tetraquark channels with quark content \( \bar{b}\bar{b}ud \), \( \bar{b}\bar{b}us \) and \( \bar{b}\bar{c}ud \) using lattice QCD. We carry out calculations on several gauge link ensembles with \( N_f=2+1 \) flavours of domain-wall fermions and consider a basis of local and non-local interpolators. Besides extracting the energy spectrum from the correlation matrices, we also perform a L\"uscher analysis to extrapolate our results to infinite volume.