I think that the choice of words "dooba hua hai" is beautiful too. zamzam is a well and things get drowned or submerged in it's waters, but in this instance, the well itself is drowned/submerged (in shawq).
Dooba huwa hai shawq me zamzam aur aankh se Jhaale baras rahe hain ye hasrat kidhar ki hai Zamzam is drowning in affection and from its eyes; Heavy rain is falling; for what is this yearning? #Alahazrat says: zamzam is saying: 'O visitors of RasulAllah ﷺ! That Ismayil عليه السلام because of whom I flow; you are going to see that personality due to whose light the knife refused to cut Ismayil. Alas! I could come with you.' It is in this yearning that tears flow from zamzam like heavy rain and will do so till qiyamah. --- Alahazrat likened the flowing water of zamzam to tears of yearning for RasulAllah ﷺ and that too like the heavy rains of the monsoon! What a spectacular analogy!