At this writing (2016-12-17), the UK has not yet invoked TEU Article 50 to begin the withdrawal process, so it’s still a part of the EU.
What's with the capitalization in "tAontas"? On an unrelated note, for some reason, Irish sounds like an American accent.
It' because it's a proper noun. The mutations are never capitaluzed, so 't' stays lowercase and goes before the capital letter (it's t- in lower case).
Why are "Ao" and "Eo" pronounced /eː/ and /oː/ in "an tAontas Eorpach" (which I am hearing as /ənˠ tˠeːnˠtˠəsˠ oːɾˠəpˠax/) ??? Is it another error of the misleading audio? Or is it a weird spelling? Or just me hearing it wrong?
The spelling ao can be pronounced either /eː/ or /iː/, depending upon dialect.
The spelling eo is almost always pronounced /oː/ (or /ɔː/ in Ulster Irish) — common exceptions are seo, deoch, eochair, and sometimes seomra.
The Irish for "Union" with a capital "U" is "Aontas" with a capital "A". When a particular grammatical circumstance calls for an initial mutation of any kind, the capitalization does not change, even when the mutation precedes the root word, but any hyphen that might occur is dropped.
"Uachtarán na hÉireann", "i gCeanada", "Ár nAthair".