'gaze into' vs. 'gaze at'

[Raf]

Hello,
what is the difference between 'gazing into' and 'gazing at' something?
Plus: is there any difference between 'staring at' and 'staring into'?
Thanks!

[Gray]

1) 'gaze into' or 'stare into' -- to look into something intentionally

2) 'gaze at' or 'stare at' -- to look at something intentionally
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First lesson - English, not english. I, not i. ~A student of English