I saw that Meloni was appointed PM, but did she finally include FI in her government ? And did the government even managed to get formed ?
FI is in. Their ministers are apparently all pro-EU/NATO figures within the party.
She is making herself more acceptable as an Italian leader to the outside world. And that's all to the good.
Only because she's going to fail anyway.
Meloni is adopting the image of a team player internationally so that her government is given more leeway by Italy's traditional partners. This is a good thing for immediate international concerns (for instance, Ukraine has grounds to be pleased they're not causing trouble), but in the long term, it's part of a strategy to allow Meloni to entrench herself in the way Orban did. Hungary paid the price in the short term, and it didn't work out for the EU in the long term anyway.
Thankfully, any autocrat would struggle to truly consolidate power in modern Italy - even a competent fascist with a lot of leeway from other countries. I expect Meloni won't even last the full term.