السلام عليكم ورحمة الله وبركاته May Allah bless and preserve you. When the Adhan is called and im going to the Mosque and then the Iqama is called and Im praying with the Imam. Do I need to Pray Salat al Masjid after the Fard Prayer before I sit down?

Ustadh AbdulAziz al-Haqqan

No, the obligatory prayer is enough