
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
Given a function $f(x)$ ($x \in \mathbb{R}$) which is an odd function with a period of 4, and its expression on the interval $[0, 2]$ is defined as 
$$
f(x) = 
\begin{cases} 
x(1-x), & 0 \leq x \leq 1 \\
\sin(\pi x), & 1 < x \leq 2
\end{cases}
$$
find the value of $f\left(\frac{29}{4}\right) + f\left(\frac{17}{6}\right)$.

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