It should belong to Bilaval thaat .
In fact I have seen people saying it is raag Bilaval ( even Alhaiya Bilaval ) , but for me it doesn´t work , because it the song lacks the freshness of the typical morning mood of the Bilaval ragas ( also lacking the vadi in uttrang ) .
So I would go for a romantic evening raga . Look for the typical evening ragas in Bilaval thaat , and even in Khamaj thaat , since there is sometimes komal ni . ( Ragas with vadi Ga )
Other people have put it in Yaman Kalyan , but I don´t hear it like that , since there is no tivra madhayam , what to speak of a typical " Ni Re Ga " phrase .
Personally I hear greek influences in the song , when the guitar is playing . Also Latin American influence , notably in the congas and bongos , then again in the melody .
So the raga of this song can not be pure , even not a pure indian melody .
Nonetheless , some ragas that would come close would be Bihagada ( that would fit with the vadi of the song , at least how I perceive it ) and Mishra Maand , I think .
Ps : Wait , after hearing it 2-3 times , the violins now give me a typical mexican mariachi vibe . I even can visualize now Juan Gabriel jumping on the stage ...
सहस्रनाम ततुलयम राम नाम वरानने |
Sahasranāma tat tulyam Rāma nāma Varānane .