Can some of you please have a listen to the three pronunciations at this page and weigh in?

http://www.teanglann.ie/en/fuaim/leabhair

I was unfamiliar with this website and don't know what to make of this. Thank you!

Sounds accurate:
leabharthaí
leabhra
leabhair

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Is fearr Gaeilg na Gaeltaċta ná Gaeilg ar biṫ eile
Agus is í Gaeilg Ġaoṫ Doḃair is binne

Yeah, seems fine/correct. In Munster Leabhra is also used.

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The dialect I use is Cork Irish.
Ar sgáth a chéile a mhairid na daoine, lag agus láidir, uasal is íseal

As you can see in the Teanglann dictionary, they demonstrate the way the three main dialects differ, which is extremely useful, unfortunately what they don't show is that often each dialect also has a distinctive spelling that mirrors the pronunciation, which is what you have been given here above. They do give some 'variant' spellings in the dictionary, but they don't say from where in Ireland these come from. It's a pity they don't. Another thing I find frustrating is that you can explore the pronunciation of various words, one after the other and when you click on one to find out what it means, the dictionary doesn't recognise it. I think they are striving to improve it bit by bit and obviously this takes time. I have e-mailed them in the past about vocabulary that isn't easy to find or isn't there and they do answer. You can also consult Forvo where they also give words pronounced in the local dialect and they show on the map where the speaker lives.
To give you an example, verbs in Cork or Munster Irish as well as the use of prepositions can be quite different from the usage in other dialects.