Hi,
The pesonal allowance is based on your income received in the tax tax year rather than what your yearly salary will be.
As the tax year runs from Apr 24 - Mar 25 and as you have said your income Nov 24-Mar 25 will be 50k you will be entitled to the full PA of 12570 with the remaining
being taxed at 20% till after Apr25.
After April 25 ou will need to make sure the code is correct based on your income of 120K
See
Income Tax rates and Personal Allowances
Thank you.