Yeah, you’ll want a V tool for a V carving — is a run to Home Depot an option? See if somewhere local to you has:
https://www.homedepot.com/p/DIABLO-1-2-in-Carbide-V-Grooving-Router-Bit-DR20104/100660663
https://www.homedepot.com/p/DIABLO-1-4-in-V-Grooving-Bit-DR20152/204073638
(the latter would be best for smaller things or when using Advanced V carving.
The BitZero needs to be used whenever you want to set the origin relative to a given stock position — we have some folks who set zero once, relative to a stop (usually they machine the stop to match the origin after securing it) and never change XY, only Z).
See: