Compatibility with `(Shift)AltTab` in AutoHotKey

[musjj]

This is my dual-key-remap config:

remap_key=CTRL
when_alone=ESCAPE
with_other=RIGHT_CTRL

And this is my keybind in autohotkey:

>^'::AltTab
>^;::ShiftAltTab

Note: >^ refers to the right (>) ctrl (^) key.

It almost works, but I need to press the ; and ' key twice in order to trigger the alt-tab menu. But once I've triggered it, I can navigate through the menu with a single press, as long as I hold down the ctrl key.

What's causing this issue?