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It is proved that the properties of being Dolbeault formal andgeometrically-Bott-Chern-formal are not closed under holomorphic deformationsof the complex structure. Further, we construct a compact complex manifoldwhich satisfies the $\partial\overline{\partial}$-lemma but admits a nonvanishing Aeppli-Bott-Chern-Massey product.

Dolbeault and Bott-Chern formalities: deformations and $\partial\overline{\partial}$-lemma