So, I've been tried to make a Basil Garlic Aioli for some time but it keeps failing on me. What I tried in my last attempt was to make a first make a garlic oil by slow roasting garlic in Olive oil, and also a Basil Oil, by blanching basil and then blending at high speed with olive Oil.
I then try to make a Aioli as per normal, with egg yolks, mustard, lemon juice, while slowly drizzling in both oils as the mixture blends. The mixture never ever emulsifies and always splits. I've tried troubleshooting by adding more yolks, or a touch of xanthan, but it doesnt do the trick.
I think that the problem may be with the basil oil as it's not a 100% oil infused oil but rather blanched basil blended with olive oil so it still contains a significant amount of water which destroys the emulsion.
Im not entirely sure though, and I would appreciate anyone's advice on this

Thanks!