I will not go into exact detail yet as it is up to you to add the new cables first.
Below is what you need to do.
Run a 1.mm Twin and earth from Light A to light B Run a 1mm 3 core and earth from Light switch A to Light switch B Buy 2 new light switches, each must be 1 gang 2 way. Buy some WAGO connectors Buy a Multi meter learn how to use it
Running in the cables, lifting the floorboards, chasing in the cables to the wall is the hard part.
Sadly there is no short cut, the cables you already have will not do the job you require, hence install new cables, change the switches.
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