Welcome aboard!
The way to change how the texture is lookup in a triplanar block is to modify the input position:
You can scale and offset the texture by simply scaling and adding an offset to position.
The triplanar block is not using the uv coordinates of a mesh for the calculations, so there’s no difference between a mesh with or without uv coordinates when you apply a node material using a triplanar block (assuming you are not using uv coordinates for something else in the material!).
Same thing for the noise block, it is not using uv for the calculations (but it can if you use uv as an input or as part as some calculations for the input).