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Please correct the following conversation. What if much cuter is used instead of more cuter? How would it affect meaning? What if only cuter is used without more or much? What parts of speech are more and much in expressions more cuter and much cuter? Can I say: Let's talk about this over the phone?

- I'm looking at your picture.
- You don't have any of my pictures. Do you?
- Yes, I do have.
- Don't tell me you have that dimented picture of mine from school days.
- You were cute then.
- I'm more cuter now. My cuteness grow with every day.
-Let's talk about this on the phone.
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'More cuter' is wrong. 'Much' and 'more' are adverbs when they modify an adjective.

- I'm looking at your picture.
- You don't have any of my pictures, do you?
- Yes, I do.
- Don't tell me you have that demented picture of mine from school days!
- You were cute then.
- I'm cuter now. My cuteness grows with every day.
-Let's talk about this on the phone.

If they are not already on the phone but face-to-face, then your dialogue does not really make sense.
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Comments  
Cuter means more cute.

More cuter is wrong because we already have the comparative idea present in cuter.

Much more cute is fine because you can be a lot more cute.
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 Mister Micawber's reply was promoted to an answer.
I'm looking at your picture.
- You don't have any of my pictures. Do you?
- Yes, I do have.
- Don't tell me you have that dimented picture of mine from school days.
- You were cute then.
- I'm more cuter now. My cuteness grow with every day.
-Let's talk about this on the phone.
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That's terrible, Anon.
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