Build a high wall with a door opening

Hello,
now that my outdoor kitchen is finished, I want to start the next project.
I want to build a wall (with door) between the garage and the house wall. The wall would be about 2.50m wide and 2.70m high. A door (same pattern/color) like our sectional door from Hörmann will be installed.
Do I need to consider anything to keep the wall stable and prevent it from simply “tipping over”? Although I think that won't easily happen.
Can I use normal sand-lime bricks, and how thick do they need to be at minimum?
I poured a strip foundation with reinforcing steel frost-proof (90cm) deep yesterday.

The attached picture is over a year old, I don’t have a more current one right now.

Thanks in advance for your messages and best regards

Where exactly should the wall be and what is its purpose? [Kalksandstein] is indeed a suitable building material. I would like to help, but I don't quite understand the task.

I think that the OP wants to build a wall between the house and the garage with a door as a passage.

...and wants to know how to attach the wall to the house and garage or on the foundation so that it does not fall over when leaning against it...

Just as Flocko wrote it

You must ensure that the bricks are connected to the existing wall.