The NZXT H6 Flow RGB Case comes with three pre-installed 120mm RGB fans, but it does not include a separate hub specifically for the RGB fans. However, the RGB fans can be controlled via the motherboard or a compatible motherboard with RGB control.
I have an asus 4070 ti OC in it and it fits (30.50 cm)
So your 4060 ti ( according to digitec 28.10 cm ) should fit without any problems.
I hope this helps you.
Unfortunately, we do not yet know when our supplier will be able to arrange the case again. However, the market launch was very successful and NXZT will certainly prioritise the production of the product. In the meantime, you are welcome to add the case to your watch list.