For crack repair, I used a hydraulically setting chamotte mortar. (It is important that the material has a similar composition to the bricks). For small cracks, I use a very fine grain size, for larger cracks a slightly coarser (still fine) grain size. It is important to open the crack wide with high temperatures, make it slightly larger at the edges, remove dust and loose parts. Then I poke and press the mortar (while it is still hot) into the cracks with a very thin spatula (always in approx. 5 cm steps, otherwise the mortar hardens too quickly). I only use lime mortar for plastering (where temperatures do not exceed 200 degrees). Sometimes it takes several steps to close the crack. But small hairline cracks are not a big problem. I'll finally get around to plastering my oven in the next few days (weeks).