Dear @Singh,
Hello again and I hope you read my answer on your last question here :-).
No, the "Bürgeramt" is not dealing with birth certificates. These are only issued from the responsible "Standesamt" (registry office) in the municipality in which the respective birth took place. At the Bürgeramt people usually register a new address, apply for a new ID card or passport, driving license etc. Certain tasks my also vary - depending on the administrative strucures of a municipality.
I hope this answers your question.
All the best,
Meike