Print with supports. At least PETG is recommended to resist to hot water temperatures.
Update: Published v2 with the following features:
Tip: I print a single layer of PLA for the interface layer of the support. PLA and PETG don't stick together, which makes support removal much easier (and the design is a bit weak, so this helps a lot). Remember to purge a lot of filament when switching back to PETG or your print will have severe adhesion issues.
The author marked this model as their own original creation.