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1
To prepare the tahini-yogurt marinade: In a large bowl, whisk together all of the ingredients until smooth and emulsified. If you're using Greek or skyr yogurt, you may need to add a bit more extra-virgin olive oil to loosen the marinade.
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2
Wash and trim the broccoli crowns. Slice the crowns into 1/2-inch flat slabs. It's fine if smaller florets fall off in the process (grill those too!), just try to get the broccoli about the same thickness so it cooks at the same rate.
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3
Add the broccoli to the marinade and toss well to coat. You want the marinade to coat every little nook and cranny of the florets. Let marinate in the refrigerator for 3 to 4 hours, or until the yogurt starts to slacken the crunch of the raw broccoli.
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4
Heat the grill to medium-high and brush your grates clean, then brush with olive oil.
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5
In a small bowl, mix together the tahini, olive oil, and a pinch of salt until smooth. Brush each slice of bread with the tahini/olive oil, using just enough to evenly coat each side.
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6
Grill the bread a few minutes per side (checking frequently), or until charred in spots but still soft in the middle. Let the bread cool, then cut into 1/2-inch cubes. If using flatbread, tear into irregular pieces.
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7
After the bread comes off the grill, arrange the broccoli in a single, even layer. I like to use a perforated grill tray (brushed with a little oil), but you can grill the broccoli directly over the grates. Grill the broccoli on the first side until nicely charred (lift up a piece or two to check), then flip the broccoli and continue grilling until the broccoli is tender and nicely blistered. Remember, char equals flavor so don't hesitate to get some color on the broccoli! Tip: transfer your grilled broccoli back to the same bowl that you marinated it in (and don't wash it -- the little bit of marinade that remains in the bowl makes a delicious dressing). Once cool, cut the broccoli into more bite-size pieces, if desired.
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8
Arrange the bread cubes and broccoli on a large serving platter. Toss in the shredded carrots, then scatter the almonds and basil. Season with salt and pepper, and drizzle with olive oil and lemon juice. Serve slightly warm or at room temperature.
