A remark on Gromov-Witten-Welschinger invariants of $\mathbb{C}{P}^3\mathrm{\#}{\overline{\mathbb{C}P}}^3$

We generalize the formula of Gromov-Witten-Welschinger invariants of $\mathbb{C}{P}^3$ established by E. Brugall'e and P. Georgieva in [BG16b] to $\mathbb{C}{P}^3\mathrm{\#}{\overline{\mathbb{C}P}}^3$. Using pencils of quadrics, some real and complex enumerative invariants of $$\mathbb{C}$ P^3#\overline{$\mathbb{C}$ P}^3$ can be written as the combination of the enumerative invariants of the blow up of $\mathbb{C}{P}^2$ at two real points.