I'm not sure if this is doable in mintty, but I have a workaround for iTerm on Mac OS and the same would work for alacritty which is cross platform.
In vim I have this mapping
nnoremap <C-n>i <C-i>
In teminal preferences I have set up ^i to send hex codes "0xe 0x69" to the shell.
For alacritty you need to add this to the key mapping section ...