“No one entered or even attempted to enter the Brooks’ house. That allegation is completely untrue...”
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Parsing the lawyerese, this means they evaded the gate and managed to get onto the Brooks’s property. She then met them out on the driveway in her housecoat and slippers where she was served. So while they technically did not “attempt to enter the house,” they did enter the property somewhat forcefully, and they probably would have attempted to enter the house if she had not gone out to meet them. That’s my provisional interpretation anyway.
...
"No one entered or even attempted to enter the Brooks' house. That allegation is completely untrue. A process server lawfully served the papers on Mo Brooks' wife, as the federal rules allow," Andonian said.
Note that they did not quote Brooks saying "house" or "home", they paraphrased - which makes me think he likely said "property".