the message I get on my mobile say "please log in with a private account to answer" , kind of weird because NSEC is supposed to be the private , let me post something from Amethyst in a different note

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If you logged in with your nsec you shouldn’t be having issues. But I’ve never used amethyst so you might have to go back to nostr:npub18ams6ewn5aj2n3wt2qawzglx9mr4nzksxhvrdc4gzrecw7n5tvjqctp424 for an answer.

This should work. I use snort and Amethyst. You can use any client with your NSEC and your notes will show up on other clients because it's all the same protocol.

Maybe check to make sure Amethyst is seeing your relays? Check the side bar menu, tap relays.

I can see my notes on both platform snort and Amethyst , the problem is that I cannot post a note using Amethyst even though I have the feather available now

Ha! It looks like there was a delay on my peemissions, I can post now

Awesome! I'm glad you got it figured out.

So I created a new nsec key from Amethyst and it let me post a note so probably the nsec from another platform doesn't work for some reason in my case

It will. You need to make sure you're using the correct string of characters.