How did they find $x^3+y^3+z^3 = 165$ which has a larger solution than $x^3+y^3+z^3 = 33$?

The discovery by Andrew Booker of an integer solution to,

$$N=x^3 + y^3 +z^3=33$$

$$8866128975287528^3 - 8778405442862239^3 -2736111468807040^3=33$$

got some press and Youtube mileage back in 2019. As mentioned in Booker's July 2019 article, for $0<N<1000$, there used to be $13$ unsolved $N$, namely,

$$N=33,42,114,\color{blue}{165},390,579,627,633,732,795,906,921,975$$

His article gives a solution to $N = 33,795$. Then Booker and Sutherland found $N=42$. After the article was written, Booker and Drew also found $N=906$. But this solution,

$$383344975542639445^3 -385495523231271884^3 + 98422560467622814^3=\color{blue}{165}$$

How and who found it? It was added to an MO post by Sebastien Palcoux in Oct 2019 with little information. My guess it is still by Booker and a colleague, but it would be nice to be sure.

P.S. In summary, the number of unsolved $N$ back in 2019 was reduced to just $13-5 = 8$,

$$N=114,390,579,627,633,732,921,975$$