
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Find $XY$ in the triangle below.

[asy]
unitsize(1inch);
pair P,Q,R;
P = (0,0);
Q= (2,0);
R = Q+rotate(60)*(2,0);
draw(P--Q--R--P, linewidth(0.9));
draw(rightanglemark(Q,P,R,3));
label("$X$", P, S);
label("$Y$", Q, S);
label("$Z$", R, NE);
label("$24$",(Q+R)/2, NE);
label("$60^\circ$", (1.3, 0), N);
[/asy]

Present the answer in LaTex format: \boxed{Your answer}
user