You have a cavity prepared with 5 photons. 2 atoms are emitted simultaneously identical whose 2 levels are in resonance

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You have a cavity prepared with 5 photons. 2 atoms are emitted simultaneously identical whose 2 levels are in resonance with the mode of the cavity, prepared one in its ground state |g⟩ and one in its excited state |e⟩, such that both
pass through the cavity at the same time. The field in the cavity is then measured and is determined to have 4 photons. Write the wave function of the system after the atoms pass through the cavity and calculate the entanglement between the field and the matter
and the entanglement between atom 1 and atom 2.
PLEASE WRITE THE STEP BY STEP WITH ALL THE ALGEBRA