Salam Shaykh. I wanted to ask the about the authenticity of the Hadith Kisa that is usually recited before our gatherings. Is this version (narrated by Bibi Fatima through Jabir) a strong narration? If not, is it permissible to recite this version of Hadith Kisa

Yes it is most authentic and proof is aayate tahreer (sura ahzab ayah 33)
It is narrated by our renowned scholars and historians.yes please recite for the barakah and blessings.