T Splicing HU 12v wire and ground (FM Modulator Install)

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Hey everyone.

I bought a Tranzit Blu HF FM Modulator and I'm currently trying to figure out how to wire it to my car (I have a Canadian 2007 sedan Yaris with no aux input harness).

What I plan on doing is T splicing (example) the 12v fm modulator wire on the radio harness 12v wire (12v acc blue wire) and do the same with the modulator neutral and the radio ground wire (Black/White chassis ground wire).

Do you guys think that would work? I think it would probably be fine for the 12v wire, but what about the neutral?

Would I be at risk of overloading the circuit? I don't think that the FM modulator (Tranzit Blu Hf ISFM2351) uses much power but I couldn't find any information about its power consumption online.