old floor clinker bricks as interior flooring

Good day everyone, we are currently planning the construction of a single-family house. Since we want to build in a country house style, we came up with the idea as a highlight to use old bricks as floor covering in the hallway (8.1m²) and at the back in the windbreak of the side entrance. We get the bricks for free. My questions now: Can the bricks withstand being cut to a thickness of 2 cm? Or do you lay the bricks without cutting them and omit the underfloor heating and instead use low-temperature radiators in the hallway or nothing at all in the windbreak (approx. 2.5m²)? With a total of about 10.5m², it is probably a huge effort to halve all the bricks. Can someone help me here or has someone done something like this before? Many thanks in advance

You don't want slips but rather the stonemason to cut half rolls out of solid clinker bricks for you?

(that would be 32.5 mm thick in Reich format and 26 mm in thin format)

The effort should be manageable, but I'm not sure about the breakage rate.

I would lay the full clinker bricks directly into the heated screed if you are sure of your decision.