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We show the first results of a new cavity based haloscope searching for dark photons with masses around $34~\mu\text{eV}$. Dark photons are hypothetical vector particles and a compelling dark matter candidate. Having the same quantum numbers as photons a kinematic mixing between both is expected, leading to conversions from dark photons to standard model photons, where the photon frequency depends on the dark photon mass. For wavelengths in the microwave regime resonators are typically used to enhance the signal. A new experiment is setup at the University of Mainz. In this paper we present the initial results from the new setup searching for dark photons utilising a 8.3 GHz copper cavity at LHe temperatures. Limits on the kinetic mixing parameter $\chi < (6.20 \pm 3.15^\text{(exp.)} \pm 9.65^\text{(SG)}) \cdot 10^{-14}$ at 95\% CL are set at a single frequency as proof of concept. Finally the next steps of the experiment and expected sensitivity are detailed., Comment: 6 pages