Question: Chwistmas is the same with or without me, though I do wish you all Mewwy Chwistmas...

> 
> I wish to be wid of my condition
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> 
> I am named and famed with humiliation
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> 
> A small happy square wheel! That's my goal
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> 
> And not mewely an empty hole,
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> Gweeted and weceived with dewision
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> 
> 

What am I, what do I want to become, and why?

**HINT 1:**

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>  W -> R
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> 
>

Answer: 
**CORRECT :) (Finally)**

Are you

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> 0 ?
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> 
> 

Do you want to be 

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>  a small positive number >0
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> 
> 

I wish to be wid of my condition, 

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>  Nothing?
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> 
> 

I am named and famed with humiliation

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>  You are something that means nothing
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> 
> 

A small happy square wheel! That's my goal

> 
>  a small happy square **real**? Coz no matter how you square 0, you end up with 0!   
> Or you want to look like this? "□" (Irrelevant)   
> according to OP: a small **positive** (happy) real number
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> 
> 

And not mewely an empty hole,

> 
> ? It's a hole (0)   
> and according to OP: Zero is the smallest non-negative Whole number (empty hole)
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> 
> 

Gweeted and weceived with dewision

> 
>  for being imaginary? (a dreamer?)   
> Zero is considered both real and imaginary, see this: <https://en.wikipedia.org/wiki/Imaginary_number>
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> 
> 

Hint 1:

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>  W -> R and has implications of Whole Numbers -> Real Numbers (as suggested by OP in comment)
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> 
> 

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Note:

editing this as I came across [this comment from a mod on another user's answer](https://puzzling.stackexchange.com/questions/85372/you-sign-me-right-round/85391#comment248090_85391) stating that we should delete old attempts...
I believe this relates to

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>  Irish dances
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> 
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You wish to be a

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>  Reel, used in square dancing
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> 
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Because you are a 

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>  Jig, which is the stereotypical Irish dance and and a tool used for holding other tools (which occupy the empty space or hole in the jig)
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> 
> 

I'm unsure about the math tag, but I think the numbers

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>  1, 49, or 100
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> 
> 

Come into play since they are

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>  the smallest square happy real numbers ( <https://en.m.wikipedia.org/wiki/Happy_number> )
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>