
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
I decided to dine with friends at a Mediterranean restaurant. Unfortunately, I am a vegan and also have a gluten and lactose intolerance. The restaurant's menu features nine dishes that are vegan. This accounts for three-tenths of their menu. Out of these vegan options, seven contain either gluten or dairy products. How many dishes on the menu can I actually enjoy?

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