
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 that the function $f(x) = 1 - \dfrac {4}{2a^{x}+a}$ with $a > 0$ and $a \neq 1$, is an odd function defined on $(-\infty,+\infty)$.  
$(1)$ Find the value of $a$;  
$(2)$ For $x \in (0,1]$, the inequality $t \cdot f(x) \geqslant 2^{x}-2$ always holds, determine the range of the real number $t$.

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