My iphone 7 is frozen and I cannot restore it

See this Apple article: iOS update and restore errors

iOS update and restore errors – Apple Support (UK)

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See -> If you see error 9, 4005, 4013 or 4014 when you restore your iPhone, iPad or iPod touch

If you continue to see error 9, 4005, 4013 or 4014 when you try to restore your iPhone, iPad or iPod touch, contact us.

If indeed it is the original battery, that's probably the reason your iPhone 7 froze. Have the weak, aging battery replaced:

iPhone Battery & Power Repair

About genuine iPhone batteries

Repair Provider Verification

(Articles found by searching Apple's Knowledge Base.)

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MayoMarc ~ What makes you think the battery "still has some life into it."?

If it unfroze, in Settings > Battery is there a notice saying the battery isn't a genuine Apple part?

Yes, changing the battery could allow you to update rather than restore.

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MayoMarc ~ Does your iPhone 7 still have its original battery?

And, if it comes back to life, what's the Maximum Capacity % here?...

Settings > Battery > Battery Health

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Enter Manhattan, NY here:

Find Locations - Apple

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Repair shop guy? ...Check he knows what he's talking about here:

Repair Provider Verification

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Yes to both qstns.

And again, what makes you think the battery "still has some life into it."?

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