As above , a diluted acidic product will grey/ poss whiten as it burn into the calcium based stone
Deterdek is a buffered acid so could be a possibility , 😉
Do you have offcuts to play with and you could test dilution rate say 1-10 to start , then increase for a more distressed look , could be patchy.
If you had off cuts , test diluted vinegar, lemon used to distress match with that even. Rinse well
Note .you won't get an even grey all over with any of above