  Light nuclei production is expected to be sensitive to baryon density
fluctuations and can be used to probe the signatures of QCD critical point
and/or a first-order phase transition in heavy-ion collisions. In this
proceedings, we present the spectra and yields of protons ($p$) and light
nuclei ($d$, $t$, $^{3}\mathrm{He}$, $^{4}\mathrm{He}$) in Au+Au collisions at
$\sqrt{s_{\mathrm{NN}}}$ = 3 GeV by the STAR experiment. Finally, it is found
that the kinetic freeze-out dynamics (temperature $T_{kin}$ $vs.$ average
radial flow velocity $\langle\beta_{T}\rangle$) at 3 GeV extracted with the
blast-wave model deviate from the trends at high energies
($\sqrt{s_{\mathrm{NN}}}$ = 7.7 - 200 GeV), indicating a different medium
equation of state.
