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Dev here - I agree it is too slow - really needs a bit of machine code for the fill routine, but this is a speccy jam game release where only Basic is allowed so have to suffer the slowness i am afraid.   I have added a little code to try to fast fill from the top when a full line is a complete colour just to increase the speed a bit (not perfect but does the job)

What to do - choose a colour and flood fill from top left.  Fill will continue right until it hits a colour that is different from the one currently filling over or itself.  If it hits its same colour, it will continue.  Breaking into a new line is only achievable by choosing the colour in the left column.   Try to determine which colour will give you either a new line or the largest flood fill to try to complete the whole board in one colour in the least amount of moves.

Thanks for the positive feedback so far.