Should I upgrade my current Amex Platinum Credit Card to Amex Platinum Charge Card? Is it worth the $1,700 annual fee?

I think the annual fees is quite an amount to pay.

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If your objective is to save on expenses then maybe not.

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if you are a jet setter and feel that even without the perks those are sunken cost then by all means upgrade the card and use all the perks.

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I have ave been looking at the card but personally I think I will give it a miss.

Yes you should with the perks involved. Especially so if you are a frequent flyer, you get access to the lounges in most airports, and also concierge services which are super convenient and efficient.