Step outside fancy hotel with little squirt (6)

I believe the answer is:

spritz

I'm a little stuck... Click here to teach me more about this clue!

'little squirt' is the definition.
(I've seen this in another clue)

'step outside fancy hotel' is the wordplay.
'outside' means to remove the middle letters.
'fancy hotel' becomes 'ritz' (I've seen this before. I am not sure about the 'fancy' bit.).
'step' with its centre taken out is 'sp'.
'sp'+'ritz'='SPRITZ'

'with' is the link.

Can you help me to learn more?

(Another definition for spritz that I've seen is " Delivery from a Mister".)

I've seen this clue in The Irish Times.

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