Step 1: Identify the reaction.
The given reaction is the Schiemann reaction, which is used to prepare aryl fluorides from aryl diazonium salts.
Step 2: Role of reagent A.
Fluoroboric acid converts the aryl diazonium salt into aryl diazonium tetrafluoroborate, which is a stable intermediate.
Step 3: Heating the intermediate.
On heating, aryl diazonium tetrafluoroborate decomposes to form aryl fluoride, boron trifluoride, and nitrogen gas.
Step 4: Conclusion.
The reagent A used in the given reaction is fluoroboric acid.