
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 triangle $ABC$, let angles $A$, $B$, $C$ be opposite sides $a$, $b$, $c$ respectively, and it satisfies $$2a\sin\left(C+ \frac {\pi}{6}\right) = b+c$$.
(Ⅰ) Find the value of angle $A$;
(Ⅱ) If $B= \frac {\pi}{4}$ and $b-a= \sqrt {2}- \sqrt {3}$, find the area of triangle $\triangle ABC$.

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