
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
Points  $A, B, C, D$  and  $E$  are located on the plane. It is known that  $CA = 12$ ,  $AB = 8$ ,  $BC = 4$ ,  $CD = 5$ ,  $DB = 3$ ,  $BE = 6$  and  $ED = 3$ . Find the length of  $AE$ .

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