I just browsed through the Amazon link you sent. If you scroll down it states that they’re flashers only and not to be used for daytime running lights. So back to the wiring, if you hooked up all 3 wires something is shorting depending on switch position, that’s why the front are basically turning off when you turn on your signal. Also I noticed in your video that your signal indicators are constantly on, that’s not normal. They should flash with the signals. So you can either remove the running light lead as use them as flashers only, or replace the front pair. Again the relay is for the flash rate and will not fix both issues.