Crossword Genius

Relaxed, touched by a book being broadcast (4,2,4)

Ross

I believe the answer is:

felt at home

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'a book being broadcast' is the definition.
I know nothing about this answer so I cannot tell whether it can be defined by this definition.

'relaxed touched by' is the wordplay.
'relaxed' becomes 'athome' (I've seen this in another clue).
'touched' becomes 'felt' (feeling is a kind of touching).
'by' means one lot of letters go next to another.
'athome' after 'felt' is 'FELT AT HOME'.

Can you help me to learn more?

(Another definition for felt at home that I've seen is " Was at ease in situation".)

I've seen this clue in The Irish Times.
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