Linearization of the Philips (in presence of the price indexation)

hi
in linearization of the Philips (in presence of the price indexation), is gross inflation in stedy state considered one(Pi=one?)? I am attaching my linearization file. If possible, take a look at it and help me. Did I do it right?
Many thanks.maxPtit.pdf (437.1 KB)
Sincerely yours.

Please do not double-post. See Philips curve for a country with high inflation

I apologize, Many thanks