How to connect Blinkt without GPIO insertion?

I need to connect Pimoroni Blinkt to Raspberry Pi without inserting it into GPIO ports.
Reason: As LIDAR is connected to RPi with a base, the GPIO ports are not so accessible. I would attach a picture below for your easy understanding.

Can I buy some connector or wire that I can connect to GPIO and insert in Blinkt? (and fix Blinkt on the side). If yes, which one should I buy?

I am a newbie to hardware projects, so the question may be silly. But kindly don’t refrain from answering. Thanks a zillion in advance.

That’s quite a stack!

Would a Nano HAT Hacker (soldered to the GPIO, with a male header to plug the Blinkt! into soldered on the other side) do the job?

Thank you so much for the reply. It was very helpful.

In the mentioned HAT, I won’t be able to screw in the lidar base to Pi (because the holes in RPi would be shadowed by the HAT). Hence, ordered the product below. Hope it would suffice.

The pinout for the LED Shim is here. It uses i2c which is good, less chance of conflicts with other devices.

LED SHIM at Raspberry Pi GPIO Pinout