I commend you for actually digging into it and trying to understand the format. I have used them plenty but hadn't really dug into their internals. As you are adding more data layers, it may be worth looking at Geoserver [1]. You can load the data in and let it handle the tile generation and caching. Even if you don't use it, the Vector Tiles extension [2] may be a useful reference for implementing it.
[1] https://geoserver.org/
[2] https://github.com/geoserver/geoserver/tree/main/src/extensi...