When applying a bevel on 3 faces, converging at 1 point, the angle is pressed inward
The shape the bevel takes is controlled by the Shape parameter of the Bevel options. If Shape is < .5 you get an inward (concave) bevel. If Shape is > .5 you get an outward (convex) bevel.
When you finish the bevel operation there will be a little box in the lower corner of the 3D window. (This will disappear as soon as you do any other operation.)
If you click the triangle it it will expand to something like this:
I suspect that if you look at the Shape field in your options will have a value less than .5. To get the usual rounded profile, just set the value to .5
Here are a couple of examples with a simple bevel:
When you set the Shape value, blender remembers it and uses the same value the next time you bevel.
Note: This does depend on your face normals being correct. You should select all of your faces and compute normals. (SHIFT-N). Also, if you have bad geometry it won't work, so make sure that there are no duplicate vertices. (Select all vertices and merge by distance.)