Since everything was clear then it would be good if you do lock up this thread to prevent further replies which had already been answered.
It would be better to leave this thread open to give other members the chance to add some information or correct some misconceptions such as this one:
Private keys = Seed phrase
Private keys are derived from the seed but they are not the same. If you have the seed for your wallet then you can recover all your addresses but if you have one or few private keys then you can only recover their corresponding addresses.
Also this one:
it's easier to open a wallet account with a private key than a phrase seed or anything else.
You can't
open a wallet account (recover a wallet) with a private key. Importing a private key will give you access only to its corresponding address. To recover the whole wallet you will either need the seed or the wallet file.