help looking for a manga

looking for a yaoi manga with poly, 2 alpha x 1 beta turned omega? or omega. alpha 1 black haired, alpha 2 blond haired. omega brown haired. both alphas in love with omega, want to pair w omega but can only be paired with one alpha. they ended up being intimate w each other (between alphas) because they want to share omega. because of this, the omega can be paired with both alphas. the dynamic is alpha 1 x alpha 2 x omega, where alpha 2 fucks and gets fucked (lucky pierre)