Feat: Documenting 2.5 Flash thinking in REST/curl

[andycandy]

Closes #723

Feat:

• Adds a notebook for showcasing Gemini 2.5 flash thinking
• nbfmt and lint checked

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nikitamaia commented on 2025-05-01T21:49:14Z
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empty link. maybe worth removing since flash 2.0 is not used in this notebook.

andycandy commented on 2025-05-01T22:29:35Z
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Alright I removed that link.

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nikitamaia commented on 2025-05-01T21:49:15Z
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None?

andycandy commented on 2025-05-01T22:14:50Z
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Technically the response doesn't contain any thoughts tokens because it didn't use any, so while trying to access that object it throws an error so we are using a placeholder which shows up when there is no thoughts tokens included in the metadata.

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nikitamaia commented on 2025-05-01T21:49:15Z
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Here you say "you are fixing a value to the thinking budget" but in the payload below its set to 0. Can you clarify this?

andycandy commented on 2025-05-01T22:24:20Z
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Apologies, it was a typo

[andycandy]

Apologies, it was a typo

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[andycandy]

Alright I removed that link.

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[nikitamaia]

lgtm! thank you!

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nikitamaia commented on 2025-05-02T15:52:50Z
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actually one more thing, seems like this links back to the non rest example.

andycandy commented on 2025-05-02T16:27:43Z
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Oh yeah, lemme fix that real quick.

andycandy commented on 2025-05-02T16:33:55Z
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Fixed that!

[andycandy]

Oh yeah, lemme fix that real quick.

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[andycandy]

Fixed that!

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