Tau leptons are important to several testable predictions of the standard model, including lepton spin polarization, and the Higgs Yukawa coupling to leptons. Tau leptons are also vital in the search for beyond the standard model physics, as many models predict new particles which decay into final states with tau leptons. An efficient tau lepton trigger is therefore essential to maximize the physics reach of the CMS experiment. The latest online reconstruction algorithms used to trigger on tau leptons with the CMS detector that utilize machine learning based methods for the first time are described here. The performance of the algorithms is validated using 62 fb^-1 of proton-proton collisions data collected by the CMS detector in 2022 and 2023 at the unprecedented centre-of-mass energy of 13.6 TeV.