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Welcome to the forum, you might want to have a look at the following FAQ which explain where everything is
Welcome to Benefits and Work In case you are not aware, your real name appears to be showing in the forum, if you want to change this then follow the instructions in the following FAQ
My full name is showing, how can I stop it?
No you don't need to inform the PIP department about your ESA claim, there are no dependencies from your ESA claim to your PIP one.
If you want help with your ESA claim then please reply to this post and we will do our best to help.
Gordon