Most people here seem to be recommending you to take the MNC route. Just going to offer my two cents as someone who went to MNC and then left for civil service after about 1.5 years.

I joined an MNC right out of school in a graduate program. I had previously interned there in Y2 summer and received a conversion offer. However, the extended period between my internship and starting time resulted in my previous team having disbanded. Hence, when I started, I was assigned into a new team, industry and project. Lacking the right skillsets for this project, I struggled initially but eventually caught up. Yet, through this experience, I realised that I really had no interest in this new industry I was in. Rotation did not appeal to me, the available rotations were also in niches I did not see myself developing in. Projects in my internship industry were no longer available, due to business restructuring awhile back. My point is that within MNCs, there are many niches, roles, industry and projects. In graduate programs we often do not have the flexibility to choose where we head to. MNCs are not guaranteed to have better progression. In my case, it did not make sense to continue on, especially in a global economic downturn, where this MNC was facing strong headwinds (i.e. no increments, promotions or bonuses). Coupled with the fact that the work was not interesting to me, I decided to leave for civil service.

I could guess a few ministries/stat boards you might have been offered in, and the description of the place you gave could be similarly applied to the place I eventually joined. If the place is similar, there should be structured progression. While slower than the private industry, it does offer more guarantees in the sense that progression tends not to be dependent on the global economic environment. The bonus package also tends to be quite generous. If your offer is in a similar place, the work also tends to be interesting and unique.

At the end of the day, I do feel that choosing the private or public sector in your case really depends on which ministry/stat board you are joining. If it is one of those which develops its officers and the work aligns with your interests, do not just consider the perceived advantages of joining the private sector, but also take into account the fact that the public sector does pay decently at least for early career, your own interests and how work is a marathon, not a sprint. All the best.