tippecanoe

Author here, so there are a few options: 1) If your information belongs in OpenStreetMap, you can add it via an editor like the web editor at https://openstreetmap.org - this will also benefit all other OSM users. You can then "refresh" your Protomaps download to get a new map. 2) If there isn't many point and polygons, it may sense to add them as Leaflet layers, especially if you want them to be interactive 3) Other options are creating vector tiles of your own data and merging or displaying them in the renderer (https://github.com/mapbox/tippecanoe is a great tool to do this from GeoJSON) but I don't have much to support this yet.

At least for simple GeoJSON you can use tippecanoe (https://github.com/mapbox/tippecanoe) with --output-to-directory to get individual .pbf tiles. Most rendering clients will have some scheme where you can provide a root url and then the tiles need to be stored in some defined structure beneath that (e.g. root/z/x/y.pbf) (posted something similar to another response)

You can use tippecanoe (https://github.com/mapbox/tippecanoe) with the --output-to-directory flag to output the individual .pbf tiles instead of a single MBTiles file. These tiles can then be hosted on something like s3 and your map-rendering client can query the necessary tiles, no server required.