This Letter reports the observation of production and a measurement of its cross section using 139 fb of proton-proton collision data recorded at a center-of-mass energy of 13 TeV by the ATLAS detector at the Large Hadron Collider. Events with two same-sign leptons (electrons or muons) and at least two jets, as well as events with three charged leptons, are selected. A multivariate technique is then used to discriminate between signal and background events. Events from production are observed with a significance of 8.0 standard deviations, where the expectation is 5.4 standard deviations. The inclusive production cross section is measured to be $820 \pm 100, \pm 80,$ fb, approximately 2.6 standard deviations from the predicted cross section of fb calculated at next-to-leading-order QCD and leading-order electroweak accuracy.

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