Birth control shot in health center

Hello mga mommies! Ask ko lang po what kind of birth control shot is given from local health centers? EBF po si LO ever since she was born, so ang 1st birth control namin is LAM and condom. March 13 ng gabi I had my first period agad (I gave birth noong Nov 22, 2023), then I had my 1st birth control shot sa health center dito sa barangay namin last March 14. We did the *deed* netong araw mismo (march 25) and jinutok ng husband ko sa loob. Di nasabi sakin sa center when can we have our 1st intercourse and when safe iputok sa loob. I am worried na baka di pa effective yung birth control. Ayoko na rin kasi masundan si LO hahaha gusto ko only child lang siya. Thank u so much sa mga sasagot po