
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
In the plane rectangular coordinate system $(xoy)$, suppose $P$ is a moving point on the graph of the function $f(x)=e^{x} (x > 0)$. The tangent line $l$ at point $P$ intersects the $y$-axis at point $M$, and the line perpendicular to $l$ passing through point $P$ intersects the $y$-axis at point $N$. If $t$ is the $y$-coordinate of the midpoint of line segment $MN$, then the maximum value of $t$ is _______.

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