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In this picture it looks like a wavy edge tile and I would have used a wider joint.
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In this picture the tile has movement around both sides of the corner and I’d assume a loose tile.
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The grout is loose - if he added another layer of grout 3 days later I’d be of the opinion it’s all loose and he’s tried to hide it by regrouting again.
Get the tiles up where the grout is cracked and see how well they are/are not fixed. It’ll be worth a little investigation now rather than 3 weeks down the line when he’s been paid and disconnected his phone.
Thank you so much for your response.
I think the loose grout is actually the second coat of grout which hasn’t stuck to the bottom grout.
I’ll ask for all the tiles where the grout is cracked to be taken up.
As for the first picture, I think it’s the cleaning of the grout that’s a bit messy, and the tile being laid at uneven height didn’t help.
Thank you so much for the advise. I just didn’t know if I was being too picky asking the tiler to take up some of the tiles.