  We compute for the first time the so-called complete NLO corrections to
top-quark pair production with one and two isolated photons in the di-lepton
top-quark decay channel. The Narrow Width Approximation is used for the
modeling of unstable top quarks and $W$ bosons. Higher-order QCD and EW effects
as well as photon bremsstrahlung are consistently included at all stages: in
production and top-quark decays. We present results at the integrated and
differential fiducial cross-section level for both processes for the LHC Run II
center-of-mass energy of $\sqrt{s}=13$ TeV. In addition, we investigate the
scale choice in photonic observables. Finally, the individual size of each
subleading contribution is discussed in detail and the origin of the main
subleading corrections is scrutinised. For the latter case, alternative
calculations are performed in which the subleading NLO corrections are included
only in the production of $t\bar{t}\gamma$ and $t\bar{t}\gamma\gamma$.
