Inclusive and differential cross section measurements of $t\bar{t}Z$ production in $pp$ collisions at $\sqrt{s}$=13 TeV with the ATLAS detector, including EFT and spin correlations interpretations The fiducial regions for the dilepton channel are defined as: - Exactly 2 leptons ($e$ or $\mu$) with transverse momentum greater than 30, 15 GeV for leading and subleading lepton, respectively. - The sum of the two lepton charges is required to be zero. - Exactly one opposite-sign-same-flavour (OSSF) lepton pair (considered to be lepton pair from $Z$ boson) with invaraint mass compatible with $Z$ boson ($|m_{\ell\ell}^{Z}-m_{Z}|<10$ GeV). - Three orthogonal signal regions defined based on the jet and $b$-jet multiplicity. - At least 5 jets with transverse momentum greater than 25 GeV. - $b$-jets requirements: at least one $b$-jet tagged with fixed 77% $b$-tagging working point. The fiducial regions for the trilepton channel are defined as: - Exactly 3 leptons ($e$ or $\mu$) with transverse momentum greater than 27, 20, 15 GeV for leading, subleading and third lepton, respectively. - The sum of the three lepton charges is required to be $\pm$1. - At least one opposite-sign-same-flavour (OSSF) lepton pair (considered to be lepton pair from $Z$ boson) with invaraint mass compatible with $Z$ boson ($|m_{\ell\ell}^{Z}-m_{Z}|<10$ GeV) and $m_{OSSF}>10$ GeV for each OSSF lepton pair. - Three orthogonal signal regions combined for both inclusive and differential cross section measurements. - At least 3 jets with transverse momentum greater than 25 GeV. - $b$-jets requirements: at least one $b$-jet tagged with fixed 85% $b$-tagging working point. - Signal regions definitions based on the values of the deep neural network discriminants and $b$-jets requirements. The fiducial regions for the tetralepton channel are defined as: - Exactly 4 leptons ($e$ or $\mu$) with transverse momentum greater than 27, 7, 7, 7 GeV for leading, subleading, third and fourth lepton, respectively. - The sum of the four lepton charges is required to be zero. - At least one opposite-sign-same-flavor (OSSF) lepton pair (considered to be lepton pair from $Z$ boson) with invaraint mass compatible with $Z$ boson ($|m_{\ell\ell}^{Z}-m_{Z}|<20$ GeV) and $m_{OSSF}>10$ GeV for each OSSF lepton pair. - Four signal regions separated based on based on the flavour composition of the non-$Z$ lepton pair (same flavour, different flavour) and value of the deep neural network discriminant. - At least 2 jets with transverse momentum greater than 25 GeV. - At least one $b$-jet tagged with the 85% $b$-tagging working point.