A high-performance muon detector system is crucial to realise physics goals of the CMS experiment at the LHC. The CMS muon spectrometer, consisting of different detector technologies across different pseudorapidity ($\eta$) regions, demonstrated efficient tracking and triggering of muons during Run1 and Run2 of the LHC operations. The legacy CMS muon detector system, consists of drift tube (DT) chambers in the barrel and cathode strip chambers (CSC) in the endcap regions, complemented by Resistive Plate Chambers (RPC) in both the barrel and endcap. During the long shutdown (LS) 2 period, Gas Electron Multiplier (GEM) chambers were added in the first station of forward regions to enhance the redundancy of the muon system while maintaining the precision of muon momentum resolution at the Level-1 trigger. his document presents the performance studies for all four muon sub-detector systems, carried out using the data-sets collected at a collision energy of 13.6 TeV in 2022 and 2023, and compared with the Run 2 results.