Ahh, the Conflict Palette. That appears when two macros share the same trigger. The Trigger Macros by Hot Key action will induce it to appear if both macros have the same hot key trigger and are both active.
The Conflict Palette will only appear for the macro trigger of certain types, primarily keys (hot key, device key, Typed String). For other classes, both macros will run.
In this case, you can give each of your target macros the same hot key (and no remote trigger), and then have a single macro with the Remote trigger execute the other two using the Trigger Macros by Hot Key action.