@Asha06
I did this last year, you don't need a lawyer.
I updated my Indian passport with BLS and then applied for a new PR card, saying it's not a legal name change, it's just a bifurcation as my name was interepreted wrong on my passport and the name still remains the same.
I attached and highlighted the lines in this document and attached both my old and new passport with name highlighted to explain it and got my new PR card.
https://www.blsinternational.com/india/singapore/forms/guidelines-name-change.pdf