Birth of an illegitimate child

I have a german ancestor who emigrated to Hungary and on the way married in Vienna.

The records are contradicting to say the least. In the baptismal record I provided she is recorded as protestant and as illegitimate which I was told by people who read the document. 24 years later when she married she is listed as the legitimate child of Friedrich Grawan and Magdelna Werner (the baptsimal record says otherwise) and as a catholic. Furthermore Friedrich married another women 2 years later while the Magdelna was still alive which leaves even less room for a subsequent legitimisation.

Can someone read the document and provide the relevant facts? At the end of the record chat-gpt even transcribed that the mother lied about the pregnancy and therefore was banished from the town. Can someone confirm?

The two records mention the same person with a 100% certainty as the age, the parents and the place of origin check out.