Majesty won't stay in tune

Majesty won't stay in tune

I just recently purchased a 6-month-old Majesty (HMR) off of Reverb
It stays in tune fine if I don’t use the tremolo, but as soon as I dive bomb or anything, it goes out of tune.
I use 10-46, and it’s mainly the G and B strings. It improves when I put some tune it paste on the nut, but it’s still not perfect.

Do I need to get the nut filed and polished? Or could this be something else, like the knife edges?

Appreciate any help

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