Please suggest if i should switch or wait

I joined Accenture in 2021 at l10 and got promoted in 2022 June to l9 with 30%. After that dint get any increment in salary(only 3% once ) like most of my project colleagues. Now i got an offer with 30% hike but my managers are asking me to stay back,though they won't give me any promotion or increment in June cycle asnit is already locked ( that's what they are saying) but they are assuring me that they will match my offer in two cycles ( major % in dec cycle and remaining June 2025 cycle. Also ,they don't want to give anything in writing and want me to trust them. What should I do ,trust them and stay back or switch with 30% hike. I have total 9yeo and the new organisation is an Indian mnc. Plus I have a good repo here in Accenture and a good work life balance.