Wa `alaykum as-salamu wa rahmatullah wa barakatuh
In the Name of Allah, the All-Merciful, the Mercy-Giving
All praise is due to Allah. Peace and blessings be upon His Messenger Muhammad.
The Messenger of Allah (peace and blessings be upon him) cursed the one who gives bribe and the one who accepts it. There is no disagreement among scholars regarding the prohibition of bribe as an enormous sin.
However, with the spread of corruption in many institutions, one may find it difficult to get his right or finish official papers because the officer in charge asks for bribe. In this case, one has first to find out if there is any other solution, such as reporting this officer to his boss or raising an official complaint to those in authority. If this proves useless and there is no other way, then one may pay bribe to get his right, though it is still an enormous sin for that officer.
In your case, you did not point out if you are qualified for getting the license and meet the requirements or not.You did not also point out who gets this “extra money” and for doing what.
Allah Almighty knows best.
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