The body is generally unable to raise the core temperature to the point where it can cause permanent damage, unless the ambient temperature is high. That is, unless there is a pre-existing heart or other vital organ condition.
In fact, fevers >=39C (102.2F) showed better outcomes in covid patients.
Interesting, as someone who takes Suboxone, I avoid Tylenol because of potential liver issues. I was told during the pandemic that ibuprofen caused things to be worse. It was a confusing time and a very scary time.
Paracetamol is not anti-inflammatory in any serious context, which is to say taking paracetamol to reduce actual inflammation (think gout or rheumatoid arthritis) is more or less useless. From the wikipedia article on paracetamol:
Paracetamol inhibits prostaglandin synthesis by reducing the active form of COX-1 and COX-2 enzymes. This occurs only when the concentration of arachidonic acid and peroxides is low. Under these conditions, COX-2 is the predominant form of cyclooxygenase, which explains the apparent COX-2 selectivity of paracetamol. Under the conditions of inflammation, the concentration of peroxides is high, which counteracts the reducing effect of paracetamol. Accordingly, the anti-inflammatory action of paracetamol is slight.
Aspirin is bad for your liver as well, especially for kids. It disrupts the electron transport chain in the Krebs cycle which leads to fatty acids not being converted and since they don't belong into the mitochondria, they are expunged into small deposits in the liver. It's called microvesicular steatosis, or more commonly called fat liver.