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Perry emphasized the importance of partnerships during the chase.
"Partnerships are crucial and the way Alice batted today was outstanding. To have the opportunity there to take it deep and have a chance in the last 10.
It was a great contest," she added.
Earlier, Welsh Fire posted 144 for three from their 100 balls after being put in to bat.
Georgia Voll top-scored with 78 off 55 balls against her former team, while Sophie Devine contributed an unbeaten 35 off 19 deliveries, according to reports from the BBC and Sky Sports.
In earlier action, Southern Brave's men's team earned a 12-run victory against Birmingham Phoenix at the Utilita Bowl, according to the Farnham Herald.
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Southern Brave set a target of 128 for eight behind Marcus Stoinis's 34 before bowling out Phoenix for 116, with Luke Wood securing two late wickets.
