The LHCb detector has undergone a major upgrade for Run 3 of the Large Hadron Collider (LHC) to take data at a baseline instantaneous luminosity increased to $\mathcal{L} = 2 \times 10^{33} \text{ cm}^{-2}\text{s}^{-1}$, a factor of five times larger than in Run 2. A central feature of this upgrade concerns the realization of a completely software-based trigger system that performs a full reconstruction of tracks and particle candidates in real time. The new trigger system allows for a more refined and efficient event selection, made possible by a real-time alignment and calibration of the detector. These proceedings present the status and performance of the real-time alignment and calibration of the LHCb experiment during Run 3 of the LHC.