In this paper, we have studied the squeezing and entanglement properties of the light generated by three-level atoms available in an open cavity and pumped to the top level by electron bombardment at a constant rate. We have conducted our analysis by putting the noise operators associated with the vacuum reservoir in normal order by considering the interaction of the three-level atoms with the vacuum reservoir outside the cavity. Applying the large-time approximation scheme, we have obtained the steady-state solutions of the evolution equations for the expectation values of the atomic operators and the quantum Langevin equations for the cavity mode operators. Applying the solutions of the equations of evolution for the expectation values of the atomic operators and the quantum Langevin equations for the cavity mode operators, the squeezing properties, entanglement amplification, and the normalized second-order correlation function of the cavity radiation are described. The three-level laser generates squeezed light under certain conditions, with maximum intracavity squeezing being 50%\documentclass[12pt]{minimal}
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\begin{document}$$50\%$$\end{document} below the vacuum-state level. Moreover, it is found that the presence of spontaneous emission increases the quadrature squeezing and entanglement. It is found that the squeezing and entanglement in the two-mode light are directly related. As a result, an increase in the degree of squeezing directly leads to an increase in the degree of entanglement and vice versa. This shows that whenever there is squeezing in the two-mode light, there exists an entanglement in the system. In addition, it is shown that the photons in the laser cavity are highly correlated, and the degree of photon number correlation increases with the spontaneous emission decay constant, γ\documentclass[12pt]{minimal}
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\begin{document}$$\gamma $$\end{document}.