Here's a part of help from my end.
Get details of officer from this link
https://cybercrime.gov.in/webform/Crime_NodalGrivanceList.aspx
Write A mail to the concerned officer mentioning the acknowledgement number you already have.
Provide the link of phishing site along with following details written in mail
1. The mobile number by which you received call.
2. Call recording if any
3. Login to netbanking and take pdf of the debit transaction page.
4. I guess you didn't enter the OTP on the merchant site - in this case you can raise dispute with ICICI Bank. So raise dispute with ICICI Bank and attach dispute tracking details with email.
Send the above mail to ICICI Bank as well via email.
Why do you want to go to branch to dispute the transaction? Call icici bank and raise a dispute with them on call. If they ask why you waited for this long, tell them you raised complaint to cyber cell that's why you are late to report to ICICI.
Edit: Some details from WHOIS
Domain registration done on 21 February from somewhere near Delhi/NCR/Haryana
Site is hosted on hostgator.in
Registrar: Endurance Digital Domain Technology Private Limited
URL of Registrar:
https://publicdomainregistry.com/