The simplest approach to this is likely a second faucet - one of the "modern" faucet-is-the-sprayer that pulls out types would be least intrusive.
Might look a little weird, but to get a mixer and a sprayer (without risking major surgery on your dragon faucet) you're pretty much looking at that or installing a shower valve for the mixer, and that's going to look more weird, I expect.
Answer from Ecnerwal on Stack ExchangeVideos
Three way / tri flow kitchen faucet
It’s 2018. Has anyone come up with a kitchen faucet with a side sink sprayer that doesn’t break immediately?
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Kitchen faucet in bathroom sink?
Going through a kitchen renovation and looking to purchase a faucet that has the ability to dispense both hot/cold water and filtered drinking water all in one. Have had little luck finding a good product and is either from a random brand that I'm not sure I can trust or $1,000-$2,000. Does anyone have a recommendation for a good faucet that meets my criteria?
Hi! I am installing a new kitchen faucet including the sprayer on the side. It seems to me this has been a problem all my life. Admittedly my family is not a gentle bunch so we are tough on things. I am wondering if anyone has any advice that would help keep the sprayer from breaking. Actually, now that I think about it, I haven’t ordered yet so suggestions on which to buy to avoid this are also welcome. I am trying to keep a 70-100 budget but can usually be convinced to spend more for guaranteed quality lasting items.